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131887113 = 31931101739
BaseRepresentation
bin1111101110001…
…11000000001001
3100012011120002220
413313013000021
5232230341423
621030444253
73161010351
oct767070011
9305146086
10131887113
11684a0816
1238203689
1321429717
1413731b61
15b8a29e3
hex7dc7009

131887113 has 32 divisors (see below), whose sum is σ = 193228800. Its totient is φ = 79704000.

The previous prime is 131887111. The next prime is 131887127. The reversal of 131887113 is 311788131.

It is not a de Polignac number, because 131887113 - 21 = 131887111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131887111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178098 + ... + 178836.

It is an arithmetic number, because the mean of its divisors is an integer number (6038400).

Almost surely, 2131887113 is an apocalyptic number.

It is an amenable number.

131887113 is a deficient number, since it is larger than the sum of its proper divisors (61341687).

131887113 is a wasteful number, since it uses less digits than its factorization.

131887113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893.

The product of its digits is 4032, while the sum is 33.

The square root of 131887113 is about 11484.2114661826. The cubic root of 131887113 is about 509.0191490178.

It can be divided in two parts, 13188 and 7113, that added together give a triangular number (20301 = T201).

The spelling of 131887113 in words is "one hundred thirty-one million, eight hundred eighty-seven thousand, one hundred thirteen".

Divisors: 1 3 19 31 57 93 101 303 589 739 1767 1919 2217 3131 5757 9393 14041 22909 42123 59489 68727 74639 178467 223917 435271 1305813 1418141 2313809 4254423 6941427 43962371 131887113