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131104656 = 2434101161
BaseRepresentation
bin1111101000001…
…11111110010000
3100010200210210000
413310013332100
5232030322111
621002010000
73151241214
oct764077620
9303623700
10131104656
1168006961
1237aa6900
1321214527
14135aa944
15b79ac56
hex7d07f90

131104656 has 50 divisors (see below), whose sum is σ = 379458662. Its totient is φ = 43701120.

The previous prime is 131104627. The next prime is 131104703. The reversal of 131104656 is 656401131.

131104656 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 4 + 656 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128595600 + 2509056 = 11340^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49285 + ... + 51876.

Almost surely, 2131104656 is an apocalyptic number.

131104656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131104656 is an abundant number, since it is smaller than the sum of its proper divisors (248354006).

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

131104656 is a wasteful number, since it uses less digits than its factorization.

131104656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101181 (or 101166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131104656 is about 11450.0941480845. The cubic root of 131104656 is about 508.0105191366.

Adding to 131104656 its reverse (656401131), we get a palindrome (787505787).

It can be divided in two parts, 13110 and 4656, that added together give a triangular number (17766 = T188).

The spelling of 131104656 in words is "one hundred thirty-one million, one hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 101161 202322 303483 404644 606966 809288 910449 1213932 1618576 1820898 2427864 2731347 3641796 4855728 5462694 7283592 8194041 10925388 14567184 16388082 21850776 32776164 43701552 65552328 131104656