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120131032131 = 32111213444769
BaseRepresentation
bin110111111100001011…
…1100001010001000011
3102111002010201201210100
41233320113201101003
53432012021012011
6131104252533443
711451646632165
oct1577027412103
9374063651710
10120131032131
1146a46921540
121b347781283
13b4363a4886
145b588d4935
1531d1739d56
hex1bf85e1443

120131032131 has 12 divisors (see below), whose sum is σ = 189297384120. Its totient is φ = 72806686080.

The previous prime is 120131032067. The next prime is 120131032169. The reversal of 120131032131 is 131230131021.

120131032131 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 310 + 321 + 31 = 666.

It is not a de Polignac number, because 120131032131 - 26 = 120131032067 is a prime.

It is a super-2 number, since 2×1201310321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120131032171) 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 11 ways as a sum of consecutive naturals, for example, 606722286 + ... + 606722483.

It is an arithmetic number, because the mean of its divisors is an integer number (15774782010).

Almost surely, 2120131032131 is an apocalyptic number.

120131032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120131032131 is a deficient number, since it is larger than the sum of its proper divisors (69166351989).

120131032131 is a wasteful number, since it uses less digits than its factorization.

120131032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213444786 (or 1213444783 counting only the distinct ones).

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

Adding to 120131032131 its reverse (131230131021), we get a palindrome (251361163152).

The spelling of 120131032131 in words is "one hundred twenty billion, one hundred thirty-one million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 1213444769 3640334307 10921002921 13347892459 40043677377 120131032131