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113521442131 is a prime number
BaseRepresentation
bin110100110111001100…
…1111011110101010011
3101212000111121202211201
41221232121323311103
53324442442122011
6124052342252031
711126111223406
oct1515631736523
9355014552751
10113521442131
1144164992769
121a002127017
13a921c33186
1456ccb63d3d
152e4633ccc1
hex1a6e67bd53

113521442131 has 2 divisors, whose sum is σ = 113521442132. Its totient is φ = 113521442130.

The previous prime is 113521442129. The next prime is 113521442137. The reversal of 113521442131 is 131244125311.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 113521442131 - 21 = 113521442129 is a prime.

It is a super-2 number, since 2×1135214421312 (a number of 23 digits) contains 22 as substring.

Together with 113521442129, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 113521442131.

It is not a weakly prime, because it can be changed into another prime (113521442137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56760721065 + 56760721066.

It is an arithmetic number, because the mean of its divisors is an integer number (56760721066).

Almost surely, 2113521442131 is an apocalyptic number.

113521442131 is a deficient number, since it is larger than the sum of its proper divisors (1).

113521442131 is an equidigital number, since it uses as much as digits as its factorization.

113521442131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

Adding to 113521442131 its reverse (131244125311), we get a palindrome (244765567442).

It can be divided in two parts, 1135214 and 42131, that added together give a triangular number (1177345 = T1534).

The spelling of 113521442131 in words is "one hundred thirteen billion, five hundred twenty-one million, four hundred forty-two thousand, one hundred thirty-one".