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112314113 is a prime number
BaseRepresentation
bin1101011000111…
…00011100000001
321211100010222222
412230130130001
5212223022423
615051140425
72532440252
oct654343401
9254303888
10112314113
115844228a
1231744715
131a365772
1410cb8b29
159cd83c8
hex6b1c701

112314113 has 2 divisors, whose sum is σ = 112314114. Its totient is φ = 112314112.

The previous prime is 112314091. The next prime is 112314127. The reversal of 112314113 is 311413211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64192144 + 48121969 = 8012^2 + 6937^2 .

It is a cyclic number.

It is not a de Polignac number, because 112314113 - 226 = 45205249 is a prime.

It is a super-2 number, since 2×1123141132 = 25228919957953538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112314091 and 112314100.

It is not a weakly prime, because it can be changed into another prime (114314113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56157056 + 56157057.

It is an arithmetic number, because the mean of its divisors is an integer number (56157057).

Almost surely, 2112314113 is an apocalyptic number.

It is an amenable number.

112314113 is a deficient number, since it is larger than the sum of its proper divisors (1).

112314113 is an equidigital number, since it uses as much as digits as its factorization.

112314113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 17.

The square root of 112314113 is about 10597.8352978332. The cubic root of 112314113 is about 482.4786613918.

Adding to 112314113 its reverse (311413211), we get a palindrome (423727324).

The spelling of 112314113 in words is "one hundred twelve million, three hundred fourteen thousand, one hundred thirteen".