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131035320143999 = 37239128311549471
BaseRepresentation
bin11101110010110100001001…
…101101011101000001111111
3122011221212001202111221012022
4131302310021231131001333
5114133340313424101444
61142404443421430355
736412663246552325
oct3562641155350177
9564855052457168
10131035320143999
113882a849157077
121284363370b3bb
1358167681a62cb
142450201449d15
1510237e1a2c9ee
hex772d09b5d07f

131035320143999 has 16 divisors (see below), whose sum is σ = 135245241077760. Its totient is φ = 126861411186720.

The previous prime is 131035320143977. The next prime is 131035320144017. The reversal of 131035320143999 is 999341023530131.

It is a cyclic number.

It is not a de Polignac number, because 131035320143999 - 244 = 113443134099583 is a prime.

It is a super-2 number, since 2×1310353201439992 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131035320143999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131035380143999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5570834 + ... + 17120304.

It is an arithmetic number, because the mean of its divisors is an integer number (8452827567360).

Almost surely, 2131035320143999 is an apocalyptic number.

131035320143999 is a deficient number, since it is larger than the sum of its proper divisors (4209920933761).

131035320143999 is a wasteful number, since it uses less digits than its factorization.

131035320143999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551030.

The product of its (nonzero) digits is 2361960, while the sum is 53.

The spelling of 131035320143999 in words is "one hundred thirty-one trillion, thirty-five billion, three hundred twenty million, one hundred forty-three thousand, nine hundred ninety-nine".

Divisors: 1 37 239 1283 8843 47471 306637 11345569 11549471 427330427 2760323569 14817971293 102131972053 548264937841 3541495139027 131035320143999