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131023905 = 35194111213
BaseRepresentation
bin1111100111101…
…00010000100001
3100010112201000020
413303310100201
5232020231110
621000144053
73150453615
oct763642041
9303481006
10131023905
1167a61221
1237a68029
13211b684c
1413589345
15b781d70
hex7cf4421

131023905 has 32 divisors (see below), whose sum is σ = 226074240. Its totient is φ = 64581120.

The previous prime is 131023901. The next prime is 131023969. The reversal of 131023905 is 509320131.

It is a happy number.

It is not a de Polignac number, because 131023905 - 22 = 131023901 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131023901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6079 + ... + 17291.

It is an arithmetic number, because the mean of its divisors is an integer number (7064820).

Almost surely, 2131023905 is an apocalyptic number.

131023905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131023905 is a deficient number, since it is larger than the sum of its proper divisors (95050335).

131023905 is a wasteful number, since it uses less digits than its factorization.

131023905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 131023905 is about 11446.5673893967. The cubic root of 131023905 is about 507.9061984515.

The spelling of 131023905 in words is "one hundred thirty-one million, twenty-three thousand, nine hundred five".

Divisors: 1 3 5 15 19 41 57 95 123 205 285 615 779 2337 3895 11213 11685 33639 56065 168195 213047 459733 639141 1065235 1379199 2298665 3195705 6895995 8734927 26204781 43674635 131023905