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131142412202999 = 2938323894942313
BaseRepresentation
bin11101110100010111111000…
…111001001111001111110111
3122012100002111012010012102212
4131310113320321033033313
5114142114130010443444
61142525554212124035
736423504141206561
oct3564277071171767
9565302435105385
10131142412202999
11388712038a405a
121286034060661b
1358238a40b1b62
14245548034c331
1510264ad6b819e
hex7745f8e4f3f7

131142412202999 has 16 divisors (see below), whose sum is σ = 136075742899200. Its totient is φ = 126236770334976.

The previous prime is 131142412202957. The next prime is 131142412203007. The reversal of 131142412202999 is 999202214241131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131142412202999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142412208999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24063467 + ... + 29005779.

It is an arithmetic number, because the mean of its divisors is an integer number (8504733931200).

Almost surely, 2131142412202999 is an apocalyptic number.

131142412202999 is a deficient number, since it is larger than the sum of its proper divisors (4933330696201).

131142412202999 is a wasteful number, since it uses less digits than its factorization.

131142412202999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945114.

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 131142412202999 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twelve million, two hundred two thousand, nine hundred ninety-nine".

Divisors: 1 29 383 2389 11107 69281 914987 4942313 26534623 143327077 1892905879 11807185757 54894270491 342408386953 4522152144931 131142412202999