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131034020430131 = 7131569439174887
BaseRepresentation
bin11101110010110010111100…
…001111011100000100110011
3122011221201201011212121221122
4131302302330033130010303
5114133330133212231011
61142404110432212455
736412616115303140
oct3562627417340463
9564851634777848
10131034020430131
113882a241534885
121284333039a12b
1358165bbb3b650
14245011a9a13c7
1510237678973db
hex772cbc3dc133

131034020430131 has 16 divisors (see below), whose sum is σ = 161273685694464. Its totient is φ = 103674597020064.

The previous prime is 131034020430113. The next prime is 131034020430211.

131034020430131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131034020430131 - 238 = 130759142523187 is a prime.

It is a super-2 number, since 2×1310340204301312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131034020430131.

It is not an unprimeable number, because it can be changed into a prime (131034010430131) 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, 9694370 + ... + 18869256.

It is an arithmetic number, because the mean of its divisors is an integer number (10079605355904).

Almost surely, 2131034020430131 is an apocalyptic number.

131034020430131 is a deficient number, since it is larger than the sum of its proper divisors (30239665264333).

131034020430131 is a wasteful number, since it uses less digits than its factorization.

131034020430131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9331850.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 131034020430131 in words is "one hundred thirty-one trillion, thirty-four billion, twenty million, four hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 13 91 156943 1098601 2040259 9174887 14281813 64224209 119273531 834914717 1439934290441 10079540033087 18719145775733 131034020430131