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131132015 = 5719316361
BaseRepresentation
bin1111101000011…
…10101001101111
3100010202012022022
413310032221233
5232032211030
621002340355
73151414040
oct764165157
9303665268
10131132015
1168025473
1237aba6bb
1321223b11
14135b68c7
15b7a3de5
hex7d0ea6f

131132015 has 32 divisors (see below), whose sum is σ = 195440640. Its totient is φ = 82425600.

The previous prime is 131132011. The next prime is 131132047. The reversal of 131132015 is 510231131.

It is not a de Polignac number, because 131132015 - 22 = 131132011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131131984 and 131132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132011) 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 31 ways as a sum of consecutive naturals, for example, 17435 + ... + 23795.

It is an arithmetic number, because the mean of its divisors is an integer number (6107520).

Almost surely, 2131132015 is an apocalyptic number.

131132015 is a deficient number, since it is larger than the sum of its proper divisors (64308625).

131132015 is a wasteful number, since it uses less digits than its factorization.

131132015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 131132015 is about 11451.2887920967. The cubic root of 131132015 is about 508.0458539943.

Adding to 131132015 its reverse (510231131), we get a palindrome (641363146).

The spelling of 131132015 in words is "one hundred thirty-one million, one hundred thirty-two thousand, fifteen".

Divisors: 1 5 7 19 31 35 95 133 155 217 589 665 1085 2945 4123 6361 20615 31805 44527 120859 197191 222635 604295 846013 985955 1380337 3746629 4230065 6901685 18733145 26226403 131132015