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131968188 = 223211333253
BaseRepresentation
bin1111101110110…
…10110010111100
3100012022200022200
413313122302330
5232240440223
621032311500
73161465622
oct767326274
9305280280
10131968188
1168546720
1238242590
13214575b1
1413753512
15b8bba43
hex7ddacbc

131968188 has 36 divisors (see below), whose sum is σ = 363913368. Its totient is φ = 39990240.

The previous prime is 131968169. The next prime is 131968201. The reversal of 131968188 is 881869131.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166231 + ... + 167022.

Almost surely, 2131968188 is an apocalyptic number.

131968188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131968188 is an abundant number, since it is smaller than the sum of its proper divisors (231945180).

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

131968188 is a wasteful number, since it uses less digits than its factorization.

131968188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333274 (or 333269 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 131968188 is about 11487.7407700557. The cubic root of 131968188 is about 509.1234308112.

The spelling of 131968188 in words is "one hundred thirty-one million, nine hundred sixty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 333253 666506 999759 1333012 1999518 2999277 3665783 3999036 5998554 7331566 10997349 11997108 14663132 21994698 32992047 43989396 65984094 131968188