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131112113 = 1131279157
BaseRepresentation
bin1111101000010…
…01110010110001
3100010201012000012
413310021302301
5232031041423
621002104305
73151302026
oct764116261
9303635005
10131112113
1168011520
1237aab095
1321217a42
14135ad54d
15b79d078
hex7d09cb1

131112113 has 24 divisors (see below), whose sum is σ = 150618240. Its totient is φ = 113162400.

The previous prime is 131112097. The next prime is 131112131. The reversal of 131112113 is 311211131.

It is a happy number.

It is not a de Polignac number, because 131112113 - 24 = 131112097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131112173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835031 + ... + 835187.

It is an arithmetic number, because the mean of its divisors is an integer number (6275760).

Almost surely, 2131112113 is an apocalyptic number.

It is an amenable number.

131112113 is a deficient number, since it is larger than the sum of its proper divisors (19506127).

131112113 is a wasteful number, since it uses less digits than its factorization.

131112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 278 counting only the distinct ones).

The product of its digits is 18, while the sum is 14.

The square root of 131112113 is about 11450.4197739646. The cubic root of 131112113 is about 508.0201505327.

Adding to 131112113 its reverse (311211131), we get a palindrome (442323244).

The spelling of 131112113 in words is "one hundred thirty-one million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 11 31 79 157 341 869 961 1727 2449 4867 10571 12403 26939 53537 75919 136433 150877 384493 835109 1659647 4229423 11919283 131112113