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131343232020399 = 32727110497333687
BaseRepresentation
bin11101110111010010111010…
…101100000010111110101111
3122020001021211200000220222200
4131313102322230002332233
5114203411414344123044
61143202125305512543
736444143505406020
oct3567227254027657
9566037750026880
10131343232020399
11389393964011a3
12128932467a2753
1358397c9202189
142461091276c47
15102b813acb369
hex7774bab02faf

131343232020399 has 48 divisors (see below), whose sum is σ = 217828134451200. Its totient is φ = 74705032460160.

The previous prime is 131343232020349. The next prime is 131343232020601. The reversal of 131343232020399 is 993020232343131.

131343232020399 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 3 + 232 + 0 + 20 + 399 = 666.

It is not a de Polignac number, because 131343232020399 - 27 = 131343232020271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131343232020349) 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 47 ways as a sum of consecutive naturals, for example, 14242734 + ... + 21576420.

It is an arithmetic number, because the mean of its divisors is an integer number (4538086134400).

Almost surely, 2131343232020399 is an apocalyptic number.

131343232020399 is a deficient number, since it is larger than the sum of its proper divisors (86484902430801).

131343232020399 is a wasteful number, since it uses less digits than its factorization.

131343232020399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335020 (or 7335017 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 131343232020399 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred thirty-two million, twenty thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 21 63 271 813 1049 1897 2439 3147 5691 7343 9441 17073 22029 66087 284279 852837 1989953 2558511 5969859 7333687 17909577 22001061 51335809 66003183 154007427 462022281 1987429177 5962287531 7693037663 13912004239 17886862593 23079112989 41736012717 53851263641 69237338967 125208038151 161553790923 484661372769 2084813206673 6254439620019 14593692446711 18763318860057 43781077340133 131343232020399