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131031252 = 223211330887
BaseRepresentation
bin1111100111101…
…10000011010100
3100010120002002100
413303312003110
5232021000002
621000242100
73150514212
oct763660324
9303502070
10131031252
1167a667a0
1237a70330
13211b9cb1
141358bcb2
15b78411c
hex7cf60d4

131031252 has 36 divisors (see below), whose sum is σ = 361329696. Its totient is φ = 39706320.

The previous prime is 131031227. The next prime is 131031259. The reversal of 131031252 is 252130131.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031259) 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, 165048 + ... + 165839.

It is an arithmetic number, because the mean of its divisors is an integer number (10036936).

Almost surely, 2131031252 is an apocalyptic number.

131031252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131031252 is an abundant number, since it is smaller than the sum of its proper divisors (230298444).

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

131031252 is a wasteful number, since it uses less digits than its factorization.

131031252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330908 (or 330903 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131031252 is about 11446.8883108031. Note that the first 3 decimals coincide. The cubic root of 131031252 is about 507.9156916736.

Adding to 131031252 its reverse (252130131), we get a palindrome (383161383).

The spelling of 131031252 in words is "one hundred thirty-one million, thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 330887 661774 992661 1323548 1985322 2977983 3639757 3970644 5955966 7279514 10919271 11911932 14559028 21838542 32757813 43677084 65515626 131031252