109 (number)
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Cardinal | one hundred nine | |||
Ordinal | 109th (one hundred ninth) |
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Factorization | prime | |||
Prime | 29th | |||
Divisors | 1, 109 | |||
Greek numeral | ΡΘ´ | |||
Roman numeral | CIX | |||
Binary | 11011012 | |||
Ternary | 110013 | |||
Senary | 3016 | |||
Octal | 1558 | |||
Duodecimal | 9112 | |||
Hexadecimal | 6D16 |
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 the tenth super-prime. The previous prime is 107, making them both twin primes.
109 is a centered triangular number.
There are exactly:
- 109 different families of subsets of a three-element set whose union includes all three elements.
- 109 different loops (invertible but not necessarily associative binary operations with an identity) on six elements.
- 109 squares on an infinite chessboard that can be reached by a knight within three moves.
There are 109 uniform edge-colorings to the 11 regular and semiregular (or Archimedean) tilings.
The decimal expansion of 1/109 can be computed using the alternating series, with the Fibonacci number:
The decimal expansion of 1/109 has 108 digits, making 109 a full reptend prime in decimal. The last six digits of the 108-digit cycle are 853211, the first six Fibonacci numbers in descending order.