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131937429 = 3136175483
BaseRepresentation
bin1111101110100…
…11010010010101
3100012021010010110
413313103102111
5232233444204
621031513233
73161310141
oct767232225
9305233113
10131937429
11685255a8
1238228819
13214465b0
1413746221
15b8b2889
hex7dd3495

131937429 has 16 divisors (see below), whose sum is σ = 189790272. Its totient is φ = 81045888.

The previous prime is 131937419. The next prime is 131937433. The reversal of 131937429 is 924739131.

It is not a de Polignac number, because 131937429 - 28 = 131937173 is a prime.

It is a super-2 number, since 2×1319374292 = 34814970342260082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131937409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21322 + ... + 26804.

It is an arithmetic number, because the mean of its divisors is an integer number (11861892).

Almost surely, 2131937429 is an apocalyptic number.

It is an amenable number.

131937429 is a deficient number, since it is larger than the sum of its proper divisors (57852843).

131937429 is a wasteful number, since it uses less digits than its factorization.

131937429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116.

The product of its digits is 40824, while the sum is 39.

The square root of 131937429 is about 11486.4019170496. The cubic root of 131937429 is about 509.0838724281.

The spelling of 131937429 in words is "one hundred thirty-one million, nine hundred thirty-seven thousand, four hundred twenty-nine".

Divisors: 1 3 13 39 617 1851 5483 8021 16449 24063 71279 213837 3383011 10149033 43979143 131937429