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131038656 = 263797499
BaseRepresentation
bin1111100111101…
…11110111000000
3100010120110020120
413303313313000
5232021214111
621000340240
73150544620
oct763676700
9303513216
10131038656
1167a71311
1237a74680
13211c0488
1413590880
15b786406
hex7cf7dc0

131038656 has 56 divisors (see below), whose sum is σ = 396240000. Its totient is φ = 37439232.

The previous prime is 131038639. The next prime is 131038717. The reversal of 131038656 is 656830131.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1310386562 = 34342258732572672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47406 + ... + 50093.

Almost surely, 2131038656 is an apocalyptic number.

131038656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131038656 is an abundant number, since it is smaller than the sum of its proper divisors (265201344).

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

131038656 is an equidigital number, since it uses as much as digits as its factorization.

131038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97521 (or 97511 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 131038656 is about 11447.2117129020. The cubic root of 131038656 is about 507.9252581877.

Adding to 131038656 its reverse (656830131), we get a palindrome (787868787).

The spelling of 131038656 in words is "one hundred thirty-one million, thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 97499 194998 292497 389996 584994 682493 779992 1169988 1364986 1559984 2047479 2339976 2729972 3119968 4094958 4679952 5459944 6239936 8189916 9359904 10919888 16379832 18719808 21839776 32759664 43679552 65519328 131038656