100orone hundred(Roman numeral:C)[1]is thenatural numberfollowing99and preceding101.
| ||||
|---|---|---|---|---|
| Cardinal | onehundred | |||
| Ordinal | 100th (one hundredth) | |||
| Factorization | 22× 52 | |||
| Divisors | 1, 2, 4, 5, 10, 20, 25, 50, 100 | |||
| Greek numeral | Ρ´ | |||
| Roman numeral | C, c | |||
| Binary | 11001002 | |||
| Ternary | 102013 | |||
| Senary | 2446 | |||
| Octal | 1448 | |||
| Duodecimal | 8412 | |||
| Hexadecimal | 6416 | |||
| Greek numeral | ρ | |||
| Arabic | ١٠٠ | |||
| Bengali | ১০০ | |||
| Chinese numeral | Bách, trăm | |||
| Devanagari | १०० | |||
| Hebrew | ק | |||
| Khmer | ១០០ | |||
| Armenian | Ճ | |||
| Tamil | ௱, க௦௦ | |||
| Thai | ๑๐๐ | |||
| Egyptian hieroglyph | 𓍢 | |||
| Babylonian cuneiform | 𒐕𒐏 | |||
In mathematics
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100 is the square of10(inscientific notationit is written as 102). The standardSI prefixfor a hundred is "hecto- ".
100 is the basis ofpercentages(per centummeaning "by the hundred" in Latin), with 100% being a full amount.
100 is aHarshad numberindecimal,and also in base-four, a base in-which it is also aself-descriptive number.[2][3]
100 is the sum of the first nineprime numbers,from2through23.[4]It is also divisible by the number of primes below it,25.[5]
100 cannot be expressed as the difference between any integer and the total ofcoprimesbelow it, making it anoncototient.[6]
100 has areduced totientof 20, and anEuler totientof 40.[7][8]A totient value of 100 is obtained from four numbers:101,125,202,and250.
100 can be expressed as a sum of some of its divisors, making it asemiperfect number.[9]Thegeometric meanof its nine divisors is10.
100 is the sum of thecubesof the first four positiveintegers(100 = 13+ 23+ 33+ 43).[10]This is related byNicomachus's theoremto the fact that 100 also equals the square of the sum of the first four positive integers:100 = 102= (1 + 2 + 3 + 4)2.[11]
100 = 26+ 62,thus 100 is the seventhLeyland number.[12]100 is also the seventeenthErdős–Woods number,and the fourth 18-gonal number.[13][14]
It is the 10thstar number[15](whosedigit sumalso adds to 10 indecimal).
In history
editIn money
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Most of the world'scurrenciesare divided into 100 subunits; for example, oneeurois one hundred cents and onepound sterlingis one hundred pence.
By specification,100 euro notesfeature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse.
TheU.S. hundred-dollar billhasBenjamin Franklin's portrait; the "Benjamin" is the largest U.S. bill in print.
In other fields
editOne hundredis also:
- TheHTTP status codeindicating that the client should continue with its request.
See also
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References
edit- ^Reinforced by but not originally derived fromLatincentum.
- ^"Sloane's A005349: Niven (or Harshad) numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-05-27.
- ^Sloane, N. J. A.(ed.)."Sequence A108551 (Self-descriptive numbers in various bases represented in base 10)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-12-08.
- ^Sloane, N. J. A.(ed.)."Sequence A007504 (Sum of the first n primes.)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A057809 (Numbers n such that pi(n) divides n.)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A005278 (Noncototients)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-12-08.
- ^Sloane, N. J. A.(ed.)."Sequence A002322 (Reduced totient function)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-12-08.
- ^Sloane, N. J. A.(ed.)."Sequence A000010 (Euler totient function)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A005835 (Pseudoperfect (or semiperfect) numbers n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-12-08.
- ^Sloane, N. J. A.(ed.)."Sequence A025403 (Numbers that are the sum of 4 positive cubes in exactly 1 way.)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-12-08.
- ^Sloane, N. J. A.(ed.)."Sequence A000537 (Sum of first n cubes; or n-th triangular number squared)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^"Sloane's A076980: Leyland numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-05-27.
- ^Sloane, N. J. A.(ed.)."Sequence A059756 (Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2022-11-30.
- ^"Sloane's A051870: 18-gonal numbers".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-05-27.
- ^Sloane, N. J. A.(ed.)."Sequence A003154".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2023-09-02.
- ^see
- Wells, D.The Penguin Dictionary of Curious and Interesting NumbersLondon: Penguin Group. (1987): 133
External links
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- Chisholm, Hugh,ed. (1911)..Encyclopædia Britannica(11th ed.). Cambridge University Press.
- "On the Number 100".WisdomPortal.