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131401512 = 233211251661
BaseRepresentation
bin1111101010100…
…00011100101000
3100011020212222200
413311100130220
5232114322022
621012220200
73153615534
oct765203450
9304225880
10131401512
11681999a0
123800a660
13212b9698
1413646bc4
15b808bac
hex7d50728

131401512 has 96 divisors (see below), whose sum is σ = 390368160. Its totient is φ = 39600000.

The previous prime is 131401481. The next prime is 131401513. The reversal of 131401512 is 215104131.

131401512 is a `hidden beast` number, since 13 + 140 + 1 + 512 = 666.

It is a super-2 number, since 2×1314015122 = 34532714711772288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131401513) 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 23 ways as a sum of consecutive naturals, for example, 198462 + ... + 199122.

It is an arithmetic number, because the mean of its divisors is an integer number (4066335).

Almost surely, 2131401512 is an apocalyptic number.

131401512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131401512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195184080).

131401512 is an abundant number, since it is smaller than the sum of its proper divisors (258966648).

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

131401512 is a wasteful number, since it uses less digits than its factorization.

131401512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131401512 is about 11463.0498559502. The cubic root of 131401512 is about 508.3936539963.

Adding to 131401512 its reverse (215104131), we get a palindrome (346505643).

The spelling of 131401512 in words is "one hundred thirty-one million, four hundred one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 251 264 396 502 661 753 792 1004 1322 1506 1983 2008 2259 2644 2761 3012 3966 4518 5288 5522 5949 6024 7271 7932 8283 9036 11044 11898 14542 15864 16566 18072 21813 22088 23796 24849 29084 33132 43626 47592 49698 58168 65439 66264 87252 99396 130878 165911 174504 198792 261756 331822 497733 523512 663644 995466 1327288 1493199 1825021 1990932 2986398 3650042 3981864 5475063 5972796 7300084 10950126 11945592 14600168 16425189 21900252 32850378 43800504 65700756 131401512