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131332343233131 = 32471013074043097
BaseRepresentation
bin11101110111001000110001…
…101010100111101001101011
3122020000020201210212012221100
4131313020301222213221223
5114203222114331430011
61143153125013212443
736443306616265365
oct3567106152475153
9566006653765840
10131332343233131
1138934808a23157
1212891108031123
135838782345ba1
14246073b075d35
15102b3c7ba8d56
hex777231aa7a6b

131332343233131 has 24 divisors (see below), whose sum is σ = 195656695101504. Its totient is φ = 84843589449600.

The previous prime is 131332343233129. The next prime is 131332343233159.

It is a happy number.

131332343233131 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 323 + 4 + 323 + 3 + 1 + 3 + 1 = 666.

131332343233131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131332343233131 - 21 = 131332343233129 is a prime.

It is a super-2 number, since 2×1313323432331312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131332343237131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1536978826 + ... + 1537064271.

It is an arithmetic number, because the mean of its divisors is an integer number (8152362295896).

Almost surely, 2131332343233131 is an apocalyptic number.

131332343233131 is a deficient number, since it is larger than the sum of its proper divisors (64324351868373).

131332343233131 is a wasteful number, since it uses less digits than its factorization.

131332343233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074043251 (or 3074043248 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 131332343233131 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, three hundred forty-three million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 47 101 141 303 423 909 4747 14241 42723 3074043097 9222129291 27666387873 144480025559 310478352797 433440076677 931435058391 1300320230031 2794305175173 14592482581459 43777447744377 131332343233131