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131021689351679 = 759933733977059
BaseRepresentation
bin11101110010100111011101…
…010000000110110111111111
3122011220112212210202221100022
4131302213131100012313333
5114133124404433223204
61142354311054322355
736412001414000120
oct3562473520066777
9564815783687308
10131021689351679
1138824a93a02055
1212840a6a7b93bb
1358153a5217219
14244d6ab000047
1510232950295be
hex7729dd406dff

131021689351679 has 16 divisors (see below), whose sum is σ = 152293337414400. Its totient is φ = 110389015093824.

The previous prime is 131021689351639. The next prime is 131021689351697. The reversal of 131021689351679 is 976153986120131.

It is a cyclic number.

It is not a de Polignac number, because 131021689351679 - 236 = 130952969874943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021689351639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13132349 + ... + 20844710.

It is an arithmetic number, because the mean of its divisors is an integer number (9518333588400).

Almost surely, 2131021689351679 is an apocalyptic number.

131021689351679 is a deficient number, since it is larger than the sum of its proper divisors (21271648062721).

131021689351679 is an equidigital number, since it uses as much as digits as its factorization.

131021689351679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33986462.

The product of its (nonzero) digits is 14696640, while the sum is 62.

The spelling of 131021689351679 in words is "one hundred thirty-one trillion, twenty-one billion, six hundred eighty-nine million, three hundred fifty-one thousand, six hundred seventy-nine".

Divisors: 1 7 59 413 9337 65359 550883 3856181 33977059 237839413 2004646481 14032525367 317243799883 2220706599181 18717384193097 131021689351679