1117

1117 is the natural number that comes after 1116 and before 1118. In mathematics, it is prime, meaning it has no divisors other than 1 and itself. It is an odd number and is congruent to 1 mod 4, a property that guarantees it can be expressed as a sum of two squares. Indeed, 1117 = 26^2 + 21^2. Its representations in other bases include binary 10001011101 and hexadecimal 0x45D. The decimal digits sum to 10, which is not a multiple of 3.

As a calendar year, 1117 belongs to the 12th century CE. In Roman numerals it is MCXVII. The year is used when dating historical events and literature that discuss that period.

From a number theory perspective, 1117's prime status and its representation as a sum of two squares link it to classic results about primes congruent to 1 modulo 4 and their expression as a^2 + b^2 in the Gaussian integers.

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