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131004372 = 22371179859
BaseRepresentation
bin1111100111011…
…11011111010100
3100010111201012210
413303233133110
5232014114442
620555513420
73150342642
oct763573724
9303451183
10131004372
1167a48584
1237a58870
13211aa9a5
1413582192
15b77b19c
hex7cef7d4

131004372 has 48 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 42762720.

The previous prime is 131004337. The next prime is 131004421. The reversal of 131004372 is 273400131.

It is a super-2 number, since 2×1310043722 = 34324290966228768, 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152079 + ... + 152937.

It is an arithmetic number, because the mean of its divisors is an integer number (6501600).

Almost surely, 2131004372 is an apocalyptic number.

131004372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131004372 is an abundant number, since it is smaller than the sum of its proper divisors (181072428).

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

131004372 is a wasteful number, since it uses less digits than its factorization.

131004372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 131004372 is about 11445.7141323729. The cubic root of 131004372 is about 507.8809577017.

The spelling of 131004372 in words is "one hundred thirty-one million, four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 71 142 179 213 284 358 426 537 716 852 859 1074 1718 2148 2577 3436 5154 10308 12709 25418 38127 50836 60989 76254 121978 152508 153761 182967 243956 307522 365934 461283 615044 731868 922566 1845132 10917031 21834062 32751093 43668124 65502186 131004372