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133111432013 = 724166257557
BaseRepresentation
bin111101111111000001…
…1110100001101001101
3110201120202122100221112
41323332003310031031
54140103011311023
6141052303541405
712421424334500
oct1737603641515
9421522570845
10133111432013
11514a7a2a04a
122196a8ba865
13c7246a3171
14662a7db137
1536e10b9478
hex1efe0f434d

133111432013 has 12 divisors (see below), whose sum is σ = 158620593852. Its totient is φ = 111312694080.

The previous prime is 133111432007. The next prime is 133111432067. The reversal of 133111432013 is 310234111331.

It can be written as a sum of positive squares in 2 ways, for example, as 72212050729 + 60899381284 = 268723^2 + 246778^2 .

It is not a de Polignac number, because 133111432013 - 218 = 133111169869 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133111432013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133111432313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33126770 + ... + 33130787.

It is an arithmetic number, because the mean of its divisors is an integer number (13218382821).

Almost surely, 2133111432013 is an apocalyptic number.

It is an amenable number.

133111432013 is a deficient number, since it is larger than the sum of its proper divisors (25509161839).

133111432013 is an equidigital number, since it uses as much as digits as its factorization.

133111432013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66257612 (or 66257605 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 133111432013 its reverse (310234111331), we get a palindrome (443345543344).

The spelling of 133111432013 in words is "one hundred thirty-three billion, one hundred eleven million, four hundred thirty-two thousand, thirteen".

Divisors: 1 7 41 49 287 2009 66257557 463802899 2716559837 3246620293 19015918859 133111432013