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131621013 = 32143910163
BaseRepresentation
bin1111101100001…
…10000010010101
3100011200001002100
413312012002111
5232143333023
621021032313
73155521506
oct766060225
9304601070
10131621013
11683298a7
12380b5699
1321365574
14136a2bad
15b84dc43
hex7d86095

131621013 has 12 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 87677736.

The previous prime is 131620997. The next prime is 131621047. The reversal of 131621013 is 310126131.

131621013 is a `hidden beast` number, since 1 + 31 + 621 + 0 + 13 = 666.

It is not a de Polignac number, because 131621013 - 24 = 131620997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131621213) 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 11 ways as a sum of consecutive naturals, for example, 7870 + ... + 18032.

It is an arithmetic number, because the mean of its divisors is an integer number (15855840).

Almost surely, 2131621013 is an apocalyptic number.

It is an amenable number.

131621013 is a deficient number, since it is larger than the sum of its proper divisors (58649067).

131621013 is a wasteful number, since it uses less digits than its factorization.

131621013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131621013 is about 11472.6201453722. The cubic root of 131621013 is about 508.6765803091.

Adding to 131621013 its reverse (310126131), we get a palindrome (441747144).

The spelling of 131621013 in words is "one hundred thirty-one million, six hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 1439 4317 10163 12951 30489 91467 14624557 43873671 131621013