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132031113012 = 223219193027943
BaseRepresentation
bin111101011110110101…
…0101110011100110100
3110121210110211110212200
41322331222232130310
54130344431104022
6140353152544500
712352565641431
oct1727552563464
9417713743780
10132031113012
1150aa3137427
1221708b52130
13c5b1923656
146567142b88
15367b31ebac
hex1ebdaae734

132031113012 has 36 divisors (see below), whose sum is σ = 351310858080. Its totient is φ = 41694035472.

The previous prime is 132031112963. The next prime is 132031113013. The reversal of 132031113012 is 210311130231.

132031113012 is a `hidden beast` number, since 1 + 320 + 31 + 11 + 301 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031113013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96513288 + ... + 96514655.

Almost surely, 2132031113012 is an apocalyptic number.

132031113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132031113012 is an abundant number, since it is smaller than the sum of its proper divisors (219279745068).

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

132031113012 is a wasteful number, since it uses less digits than its factorization.

132031113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193027972 (or 193027967 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132031113012 its reverse (210311130231), we get a palindrome (342342243243).

The spelling of 132031113012 in words is "one hundred thirty-two billion, thirty-one million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 193027943 386055886 579083829 772111772 1158167658 1737251487 2316335316 3474502974 3667530917 6949005948 7335061834 11002592751 14670123668 22005185502 33007778253 44010371004 66015556506 132031113012