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131037132 = 22354719963
BaseRepresentation
bin1111100111101…
…11011111001100
3100010120101011010
413303313133030
5232021142012
621000325220
73150540312
oct763673714
9303511133
10131037132
1167a70156
1237a73810
13211bc885
14135900b2
15b785c3c
hex7cf77cc

131037132 has 24 divisors (see below), whose sum is σ = 306327616. Its totient is φ = 43597008.

The previous prime is 131037131. The next prime is 131037133. The reversal of 131037132 is 231730131.

It is an interprime number because it is at equal distance from previous prime (131037131) and next prime (131037133).

It is a junction number, because it is equal to n+sod(n) for n = 131037099 and 131037108.

It is not an unprimeable number, because it can be changed into a prime (131037131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3418 + ... + 16545.

Almost surely, 2131037132 is an apocalyptic number.

131037132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131037132 is an abundant number, since it is smaller than the sum of its proper divisors (175290484).

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

131037132 is a wasteful number, since it uses less digits than its factorization.

131037132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20517 (or 20515 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 131037132 is about 11447.1451462799. The cubic root of 131037132 is about 507.9232890967.

Adding to 131037132 its reverse (231730131), we get a palindrome (362767263).

The spelling of 131037132 in words is "one hundred thirty-one million, thirty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 547 1094 1641 2188 3282 6564 19963 39926 59889 79852 119778 239556 10919761 21839522 32759283 43679044 65518566 131037132