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131116031 = 2314993803
BaseRepresentation
bin1111101000010…
…10101111111111
3100010201101101022
413310022233333
5232031203111
621002134355
73151316324
oct764125777
9303641338
10131116031
1168014462
1237ab13bb
1321219767
14135b0b4b
15b79e2db
hex7d0abff

131116031 has 8 divisors (see below), whose sum is σ = 136944000. Its totient is φ = 125298712.

The previous prime is 131116021. The next prime is 131116043. The reversal of 131116031 is 130611131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131116031 is a prime.

It is a super-2 number, since 2×1311160312 = 34382827170385922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131116001) 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, 32576 + ... + 36378.

It is an arithmetic number, because the mean of its divisors is an integer number (17118000).

Almost surely, 2131116031 is an apocalyptic number.

131116031 is a deficient number, since it is larger than the sum of its proper divisors (5827969).

131116031 is a wasteful number, since it uses less digits than its factorization.

131116031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 131116031 is about 11450.5908581173. The cubic root of 131116031 is about 508.0252108409.

Adding to 131116031 its reverse (130611131), we get a palindrome (261727162).

The spelling of 131116031 in words is "one hundred thirty-one million, one hundred sixteen thousand, thirty-one".

Divisors: 1 23 1499 3803 34477 87469 5700697 131116031