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13031101332 = 2232615934017
BaseRepresentation
bin11000010001011011…
…01101001110010100
31020122011022112110200
430020231231032110
5203141430220312
65553021420500
7640631351034
oct141055551624
936564275420
1013031101332
115587798337
12263810a730
1312c8971062
148b89438c4
155140470dc
hex308b6d394

13031101332 has 36 divisors (see below), whose sum is σ = 33479729556. Its totient is φ = 4272491520.

The previous prime is 13031101327. The next prime is 13031101339. The reversal of 13031101332 is 23310113031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108868356 + 12922232976 = 10434^2 + 113676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031101339) 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, 2964813 + ... + 2969204.

Almost surely, 213031101332 is an apocalyptic number.

13031101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13031101332 is an abundant number, since it is smaller than the sum of its proper divisors (20448628224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13031101332 is a wasteful number, since it uses less digits than its factorization.

13031101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934088 (or 5934083 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13031101332 its reverse (23310113031), we get a palindrome (36341214363).

The spelling of 13031101332 in words is "thirteen billion, thirty-one million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 5934017 11868034 17802051 23736068 35604102 53406153 71208204 106812306 213624612 361975037 723950074 1085925111 1447900148 2171850222 3257775333 4343700444 6515550666 13031101332