109 (number)
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|---|---|---|---|---|
| Cardinal | one hundred nine | |||
| Ordinal | 109th (one hundred and ninth) |
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| Factorization | prime | |||
| Prime | 29th | |||
| Divisors | 1, 109 | |||
| Roman numeral | CIX | |||
| Binary | 11011012 | |||
| Ternary | 110013 | |||
| Quaternary | 12314 | |||
| Quinary | 4145 | |||
| Senary | 3016 | |||
| Octal | 1558 | |||
| Duodecimal | 9112 | |||
| Hexadecimal | 6D16 | |||
| Vigesimal | 5920 | |||
| Base 36 | 3136 | |||
109 (one hundred [and] nine) is the natural number following 108 and preceding 110.
In mathematics
109 is the 29th prime number, so it is a prime with a prime subscript.[1] The previous prime is 107, making them both twin primes.[2] 109 is a centered triangular number.[3]
There are exactly 109 different families of subsets of a three-element set whose union includes all three elements,[4] 109 different loops (invertible but not necessarily associative binary operations with an identity) on six elements.[5] and 109 squares on an infinite chessboard that can be reached by a knight within three moves.[6]
In other fields
109 is also the atomic number of meitnerium.[7]
See also
References
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<references />, or <references group="..." />- ↑ "Sloane's A006450 : Primes with prime subscripts", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "Sloane's A006512 : Greater of twin primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "Sloane's A005448 : Centered triangular numbers", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "Sloane's A003465 : Number of ways to cover an n-set", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "Sloane's A057771 : Number of loops (quasigroups with an identity element) of order n", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "Sloane's A018836 : Number of squares on infinite chess-board at ≤ n knight's moves from a fixed square", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Lua error in package.lua at line 80: module 'strict' not found..
