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131435631 = 3226895431
BaseRepresentation
bin1111101010110…
…00110001101111
3100011022121210100
413311120301233
5232121420011
621013042143
73154120155
oct765306157
9304277710
10131435631
1168212598
1238026353
13212cc082
14136553d5
15b813d56
hex7d58c6f

131435631 has 12 divisors (see below), whose sum is σ = 189957040. Its totient is φ = 87575040.

The previous prime is 131435621. The next prime is 131435651. The reversal of 131435631 is 136534131.

131435631 is a `hidden beast` number, since 13 + 14 + 3 + 5 + 631 = 666.

It is not a de Polignac number, because 131435631 - 25 = 131435599 is a prime.

It is a super-2 number, since 2×1314356312 = 34550650192736322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131435595 and 131435604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131435621) 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, 21486 + ... + 26916.

Almost surely, 2131435631 is an apocalyptic number.

131435631 is a deficient number, since it is larger than the sum of its proper divisors (58521409).

131435631 is a wasteful number, since it uses less digits than its factorization.

131435631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8123 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 131435631 is about 11464.5379758628. The cubic root of 131435631 is about 508.4376524296.

Adding to 131435631 its reverse (136534131), we get a palindrome (267969762).

The spelling of 131435631 in words is "one hundred thirty-one million, four hundred thirty-five thousand, six hundred thirty-one".

Divisors: 1 3 9 2689 5431 8067 16293 24201 48879 14603959 43811877 131435631