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131390649 = 32131122997
BaseRepresentation
bin1111101010011…
…01110010111001
3100011020100002100
413311031302321
5232114000044
621012054013
73153542055
oct765156271
9304210070
10131390649
1168191815
1238004309
13212b4760
1413642c65
15b805869
hex7d4dcb9

131390649 has 12 divisors (see below), whose sum is σ = 204385636. Its totient is φ = 80855712.

The previous prime is 131390639. The next prime is 131390689. The reversal of 131390649 is 946093131.

131390649 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 9 + 0 + 649 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21455424 + 109935225 = 4632^2 + 10485^2 .

It is not a de Polignac number, because 131390649 - 211 = 131388601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131390639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561382 + ... + 561615.

Almost surely, 2131390649 is an apocalyptic number.

It is an amenable number.

131390649 is a deficient number, since it is larger than the sum of its proper divisors (72994987).

131390649 is a wasteful number, since it uses less digits than its factorization.

131390649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123016 (or 1123013 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 131390649 is about 11462.5760193771. The cubic root of 131390649 is about 508.3796439280.

The spelling of 131390649 in words is "one hundred thirty-one million, three hundred ninety thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 1122997 3368991 10106973 14598961 43796883 131390649