109 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| Cardinal | one hundred nine | |||
| Ordinal | 109th (one hundred ninth) | |||
| Factorization | prime | |||
| Prime | 29th | |||
| Divisors | 1, 109 | |||
| Greek numeral | ΡΘ´ | |||
| 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. As 29 is itself prime, 109 is a super-prime.[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]
See also
- 109 (disambiguation)
References
- ↑ Sloane, N. J. A., ed. "Sequence A006450 (Primes with prime subscripts)". OEIS Foundation. https://oeis.org/A006450.
- ↑ Sloane, N. J. A., ed. "Sequence A006512 (Greater of twin primes)". OEIS Foundation. https://oeis.org/A006512.
- ↑ Sloane, N. J. A., ed. "Sequence A005448 (Centered triangular numbers)". OEIS Foundation. https://oeis.org/A005448.
- ↑ Sloane, N. J. A., ed. "Sequence A003465 (Number of ways to cover an n-set)". OEIS Foundation. https://oeis.org/A003465.
- ↑ Sloane, N. J. A., ed. "Sequence A057771 (Number of loops (quasigroups with an identity element) of order n)". OEIS Foundation. https://oeis.org/A057771.
- ↑ Sloane, N. J. A., ed. "Sequence A018836 (Number of squares on infinite chess-board at ≤ n knight's moves from a fixed square)". OEIS Foundation. https://oeis.org/A018836.
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