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131430102131131 = 3734964115878507
BaseRepresentation
bin11101111000100011110100…
…100011001110000110111011
3122020100121001210110210012021
4131320203310203032012323
5114211322322121144011
61143310053321455311
736453340311226666
oct3570436443160673
9566317053423167
10131430102131131
1138972214306141
12128a804b341537
135844a6176296b
1424653725da6dd
15102dbea2a8471
hex7788f48ce1bb

131430102131131 has 16 divisors (see below), whose sum is σ = 135580228408800. Its totient is φ = 127312590827520.

The previous prime is 131430102131129. The next prime is 131430102131177. The reversal of 131430102131131 is 131131201034131.

It is a cyclic number.

It is not a de Polignac number, because 131430102131131 - 21 = 131430102131129 is a prime.

It is a super-2 number, since 2×1314301021311312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131430102131096 and 131430102131105.

It is not an unprimeable number, because it can be changed into a prime (131430102131191) 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, 337980 + ... + 16216486.

It is an arithmetic number, because the mean of its divisors is an integer number (8473764275550).

Almost surely, 2131430102131131 is an apocalyptic number.

131430102131131 is a deficient number, since it is larger than the sum of its proper divisors (4150126277669).

131430102131131 is a wasteful number, since it uses less digits than its factorization.

131430102131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15879534.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 131430102131131 its reverse (131131201034131), we get a palindrome (262561303165262).

The spelling of 131430102131131 in words is "one hundred thirty-one trillion, four hundred thirty billion, one hundred two million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 37 349 641 12913 23717 223709 8277233 15878507 587504759 5541598943 10178122987 205039160891 376590550519 3552164922463 131430102131131