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131504013 = 3314893271
BaseRepresentation
bin1111101011010…
…01011110001101
3100011110002121000
413311221132031
5232131112023
621014330513
73154523424
oct765513615
9304402530
10131504013
1168259a03
1238059a39
1321324234
14136722bb
15b829243
hex7d6978d

131504013 has 16 divisors (see below), whose sum is σ = 195011200. Its totient is φ = 87583680.

The previous prime is 131504011. The next prime is 131504017. The reversal of 131504013 is 310405131.

It is not a de Polignac number, because 131504013 - 21 = 131504011 is a prime.

It is a Duffinian number.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38568 + ... + 41838.

It is an arithmetic number, because the mean of its divisors is an integer number (12188200).

Almost surely, 2131504013 is an apocalyptic number.

It is an amenable number.

131504013 is a deficient number, since it is larger than the sum of its proper divisors (63507187).

131504013 is a wasteful number, since it uses less digits than its factorization.

131504013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4763 counting only the distinct ones).

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

The square root of 131504013 is about 11467.5199149598. The cubic root of 131504013 is about 508.5258120746.

Adding to 131504013 its reverse (310405131), we get a palindrome (441909144).

The spelling of 131504013 in words is "one hundred thirty-one million, five hundred four thousand, thirteen".

Divisors: 1 3 9 27 1489 3271 4467 9813 13401 29439 40203 88317 4870519 14611557 43834671 131504013