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131188272 = 2434635903
BaseRepresentation
bin1111101000111…
…00011000110000
3100010212001110220
413310130120300
5232041011042
621003453040
73152040045
oct764343060
9303761426
10131188272
1168063766
1237b27180
13212435c7
14135cd1cc
15b7b58ec
hex7d1c630

131188272 has 40 divisors (see below), whose sum is σ = 339692544. Its totient is φ = 43627584.

The previous prime is 131188271. The next prime is 131188279. The reversal of 131188272 is 272881131.

It is a super-3 number, since 3×1311882723 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131188271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19273 + ... + 25175.

Almost surely, 2131188272 is an apocalyptic number.

131188272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131188272 is an abundant number, since it is smaller than the sum of its proper divisors (208504272).

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

131188272 is a wasteful number, since it uses less digits than its factorization.

131188272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6371 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 131188272 is about 11453.7448897730. The cubic root of 131188272 is about 508.1184959279.

The spelling of 131188272 in words is "one hundred thirty-one million, one hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 463 926 1389 1852 2778 3704 5556 5903 7408 11112 11806 17709 22224 23612 35418 47224 70836 94448 141672 283344 2733089 5466178 8199267 10932356 16398534 21864712 32797068 43729424 65594136 131188272