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131172012 = 223214712477
BaseRepresentation
bin1111101000110…
…00011010101100
3100010211020011200
413310120122230
5232040001022
621003245500
73151641456
oct764303254
9303736150
10131172012
1168052524
1237b19890
132123909a
14135c72d6
15b7b0bac
hex7d186ac

131172012 has 36 divisors (see below), whose sum is σ = 331933056. Its totient is φ = 43676640.

The previous prime is 131172011. The next prime is 131172031. The reversal of 131172012 is 210271131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131172011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51718 + ... + 54194.

Almost surely, 2131172012 is an apocalyptic number.

131172012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131172012 is an abundant number, since it is smaller than the sum of its proper divisors (200761044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131172012 is a wasteful number, since it uses less digits than its factorization.

131172012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 131172012 is about 11453.0350562635. The cubic root of 131172012 is about 508.0975023132.

It can be divided in two parts, 13117 and 2012, that added together give a square (15129 = 1232).

The spelling of 131172012 in words is "one hundred thirty-one million, one hundred seventy-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1471 2477 2942 4413 4954 5884 7431 8826 9908 13239 14862 17652 22293 26478 29724 44586 52956 89172 3643667 7287334 10931001 14574668 21862002 32793003 43724004 65586006 131172012