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131036328 = 23324144389
BaseRepresentation
bin1111100111101…
…11010010101000
3100010120100001100
413303313102220
5232021130303
621000321400
73150535053
oct763672250
9303510040
10131036328
1167a6a595
1237a73260
13211bc3b7
141358da9a
15b7858a3
hex7cf74a8

131036328 has 48 divisors (see below), whose sum is σ = 363554100. Its totient is φ = 42612480.

The previous prime is 131036303. The next prime is 131036341. The reversal of 131036328 is 823630131.

It is a happy number.

131036328 is a `hidden beast` number, since 13 + 10 + 3 + 632 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130919364 + 116964 = 11442^2 + 342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19243 + ... + 25146.

Almost surely, 2131036328 is an apocalyptic number.

131036328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131036328 is an abundant number, since it is smaller than the sum of its proper divisors (232517772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131036328 is a wasteful number, since it uses less digits than its factorization.

131036328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44442 (or 44435 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 131036328 is about 11447.1100282997. The cubic root of 131036328 is about 507.9222502788.

Adding to 131036328 its reverse (823630131), we get a palindrome (954666459).

The spelling of 131036328 in words is "one hundred thirty-one million, thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 44389 88778 133167 177556 266334 355112 399501 532668 799002 1065336 1598004 1819949 3196008 3639898 5459847 7279796 10919694 14559592 16379541 21839388 32759082 43678776 65518164 131036328