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131032040230131 = 3239812919352231
BaseRepresentation
bin11101110010110001000110…
…001101100100110011110011
3122011221112121011210001012220
4131302301012031210303303
5114133312104244331011
61142403142133452123
736412516052005245
oct3562610615446363
9564845534701186
10131032040230131
1138829415791257
1212842a791a1043
135816364807681
14244ddad9bc095
15102369dae6506
hex772c46364cf3

131032040230131 has 16 divisors (see below), whose sum is σ = 182307314511360. Its totient is φ = 83555807519360.

The previous prime is 131032040230033. The next prime is 131032040230139.

131032040230131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 131032040230131 - 218 = 131032039967987 is a prime.

It is a super-2 number, since 2×1310320402301312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131032040230139) 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, 2905215 + ... + 16447016.

It is an arithmetic number, because the mean of its divisors is an integer number (11394207156960).

Almost surely, 2131032040230131 is an apocalyptic number.

131032040230131 is a deficient number, since it is larger than the sum of its proper divisors (51275274281229).

131032040230131 is a wasteful number, since it uses less digits than its factorization.

131032040230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19450386.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 131032040230131 in words is "one hundred thirty-one trillion, thirty-two billion, forty million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 23 69 98129 294387 2256967 6770901 19352231 58056693 445101313 1335303939 1899015075799 5697045227397 43677346743377 131032040230131