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131638836012 = 223101108612901
BaseRepresentation
bin111101010011001001…
…0010011101100101100
3110120210010200201222220
41322212102103230230
54124044020223022
6140250221035340
712340063433625
oct1724622235454
9416703621886
10131638836012
1150911766962
12216196b5b50
13c54b587398
14652adcca4c
153656b8485c
hex1ea6493b2c

131638836012 has 24 divisors (see below), whose sum is σ = 310198448112. Its totient is φ = 43445160000.

The previous prime is 131638836011. The next prime is 131638836037. The reversal of 131638836012 is 210638836131.

It is a super-3 number, since 3×1316388360123 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131638836011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54305239 + ... + 54307662.

It is an arithmetic number, because the mean of its divisors is an integer number (12924935338).

Almost surely, 2131638836012 is an apocalyptic number.

131638836012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131638836012 is an abundant number, since it is smaller than the sum of its proper divisors (178559612100).

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

131638836012 is a wasteful number, since it uses less digits than its factorization.

131638836012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108613009 (or 108613007 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 131638836012 in words is "one hundred thirty-one billion, six hundred thirty-eight million, eight hundred thirty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 108612901 217225802 325838703 434451604 651677406 1303354812 10969903001 21939806002 32909709003 43879612004 65819418006 131638836012