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131552421 = 37111371617
BaseRepresentation
bin1111101011101…
…01010010100101
3100011112112222220
413311311102211
5232134134141
621015342553
73155114520
oct765652245
9304475886
10131552421
1168292310
1238081a59
1321340290
1413685bb7
15b838766
hex7d754a5

131552421 has 64 divisors (see below), whose sum is σ = 239210496. Its totient is φ = 62092800.

The previous prime is 131552419. The next prime is 131552431. The reversal of 131552421 is 124255131.

It is a happy number.

It is not a de Polignac number, because 131552421 - 21 = 131552419 is a prime.

It is a super-2 number, since 2×1315524212 = 34612078941922482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131552391 and 131552400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131552401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212905 + ... + 213521.

It is an arithmetic number, because the mean of its divisors is an integer number (3737664).

Almost surely, 2131552421 is an apocalyptic number.

131552421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131552421 is a deficient number, since it is larger than the sum of its proper divisors (107658075).

131552421 is a wasteful number, since it uses less digits than its factorization.

131552421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722.

The product of its digits is 1200, while the sum is 24.

The square root of 131552421 is about 11469.6303776539. The cubic root of 131552421 is about 508.5882023064.

It can be divided in two parts, 13155 and 2421, that added together give a triangular number (15576 = T176).

The spelling of 131552421 in words is "one hundred thirty-one million, five hundred fifty-two thousand, four hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 71 77 91 143 213 231 273 429 497 617 781 923 1001 1491 1851 2343 2769 3003 4319 5467 6461 6787 8021 10153 12957 16401 19383 20361 24063 30459 43807 47509 56147 71071 88231 131421 142527 168441 213213 264693 306649 481877 569491 617617 919947 1445631 1708473 1852851 3373139 3986437 6264401 10119417 11959311 18793203 43850807 131552421