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131325484523131 = 4712730557720007
BaseRepresentation
bin11101110111000010011000…
…110110101101111001111011
3122012222121000210222122121001
4131313002120312231321323
5114203114043014220011
61143150032243225431
736442644634231333
oct3567023066557173
9565877023878531
10131325484523131
1138931909401888
121288b913078277
135837c2b3ac4c2
14246028a1b80c3
15102b12599d7c1
hex777098dade7b

131325484523131 has 16 divisors (see below), whose sum is σ = 135180315426816. Its totient is φ = 127514917335456.

The previous prime is 131325484523089. The next prime is 131325484523141.

131325484523131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131325484523131 is a prime.

It is a super-2 number, since 2×1313254845231312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131325484523141) 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, 182034730 + ... + 182754736.

It is an arithmetic number, because the mean of its divisors is an integer number (8448769714176).

Almost surely, 2131325484523131 is an apocalyptic number.

131325484523131 is a deficient number, since it is larger than the sum of its proper divisors (3854830903685).

131325484523131 is a wasteful number, since it uses less digits than its factorization.

131325484523131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750738.

The product of its digits is 1036800, while the sum is 46.

The spelling of 131325484523131 in words is "one hundred thirty-one trillion, three hundred twenty-five billion, four hundred eighty-four million, five hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 47 127 5969 30557 720007 1436179 3880739 33840329 91440889 182394733 4297721783 22001253899 1034058933253 2794159245173 131325484523131