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131504031 = 32371093623
BaseRepresentation
bin1111101011010…
…01011110011111
3100011110002121200
413311221132133
5232131112111
621014330543
73154523451
oct765513637
9304402550
10131504031
1168259a1a
1238059a53
1321324249
14136722d1
15b829256
hex7d6979f

131504031 has 24 divisors (see below), whose sum is σ = 196928160. Its totient is φ = 84494016.

The previous prime is 131504029. The next prime is 131504053. The reversal of 131504031 is 130405131.

131504031 is a `hidden beast` number, since 131 + 504 + 0 + 31 = 666.

It is not a de Polignac number, because 131504031 - 21 = 131504029 is a prime.

It is a super-2 number, since 2×1315040312 = 34586620338497922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131503995 and 131504013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131504011) 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 23 ways as a sum of consecutive naturals, for example, 34486 + ... + 38108.

It is an arithmetic number, because the mean of its divisors is an integer number (8205340).

Almost surely, 2131504031 is an apocalyptic number.

131504031 is a deficient number, since it is larger than the sum of its proper divisors (65424129).

131504031 is a wasteful number, since it uses less digits than its factorization.

131504031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3772 counting only the distinct ones).

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

The square root of 131504031 is about 11467.5206997851. The cubic root of 131504031 is about 508.5258352766.

Adding to 131504031 its reverse (130405131), we get a palindrome (261909162).

The spelling of 131504031 in words is "one hundred thirty-one million, five hundred four thousand, thirty-one".

Divisors: 1 3 9 37 109 111 327 333 981 3623 4033 10869 12099 32607 36297 134051 394907 402153 1184721 1206459 3554163 14611559 43834677 131504031