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12135524402131 = 1323112718239227
BaseRepresentation
bin1011000010011000010110…
…0111110000001111010011
31120222010220120011001110121
42300212011213300033103
53042312023221332011
641450552152211111
72361522415303354
oct260460547601723
946863816131417
1012135524402131
113959713175029
12143bb42699a97
136a04b4c70100
142dd510a53d2b
15160a15c73e71
hexb09859f03d3

12135524402131 has 24 divisors (see below), whose sum is σ = 13671541653504. Its totient is φ = 10755306787680.

The previous prime is 12135524402129. The next prime is 12135524402147. The reversal of 12135524402131 is 13120442553121.

It is not a de Polignac number, because 12135524402131 - 21 = 12135524402129 is a prime.

It is a super-2 number, since 2×121355244021312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12135524402101) 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, 8454261 + ... + 9784966.

It is an arithmetic number, because the mean of its divisors is an integer number (569647568896).

Almost surely, 212135524402131 is an apocalyptic number.

12135524402131 is a deficient number, since it is larger than the sum of its proper divisors (1536017251373).

12135524402131 is a wasteful number, since it uses less digits than its factorization.

12135524402131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18239411 (or 18239398 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 12135524402131 its reverse (13120442553121), we get a palindrome (25255966955252).

The spelling of 12135524402131 in words is "twelve trillion, one hundred thirty-five billion, five hundred twenty-four million, four hundred two thousand, one hundred thirty-one".

Divisors: 1 13 31 127 169 403 1651 3937 5239 21463 51181 665353 18239227 237109951 565416037 2316381829 3082429363 7350408481 30112963777 71807836699 95555310253 391468529101 933501877087 12135524402131