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131305656 = 233191012851
BaseRepresentation
bin1111101001110…
…01000010111000
3100011002000111110
413310321002320
5232103240111
621010200320
73153036216
oct764710270
9304060443
10131305656
1168133979
1237b830a0
1321284b71
141361dcb6
15b7da5a6
hex7d390b8

131305656 has 64 divisors (see below), whose sum is σ = 349084800. Its totient is φ = 41040000.

The previous prime is 131305631. The next prime is 131305673. The reversal of 131305656 is 656503131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44631 + ... + 47481.

It is an arithmetic number, because the mean of its divisors is an integer number (5454450).

Almost surely, 2131305656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131305656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174542400).

131305656 is an abundant number, since it is smaller than the sum of its proper divisors (217779144).

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

131305656 is a wasteful number, since it uses less digits than its factorization.

131305656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 131305656 is about 11458.8680069194. The cubic root of 131305656 is about 508.2700013428.

Adding to 131305656 its reverse (656503131), we get a palindrome (787808787).

The spelling of 131305656 in words is "one hundred thirty-one million, three hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 101 114 152 202 228 303 404 456 606 808 1212 1919 2424 2851 3838 5702 5757 7676 8553 11404 11514 15352 17106 22808 23028 34212 46056 54169 68424 108338 162507 216676 287951 325014 433352 575902 650028 863853 1151804 1300056 1727706 2303608 3455412 5471069 6910824 10942138 16413207 21884276 32826414 43768552 65652828 131305656