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12013322013 = 3272112225133
BaseRepresentation
bin10110011000000110…
…01011111100011101
31011000020011222201100
423030003023330131
5144100402301023
65304023103313
7603462360300
oct131403137435
934006158640
1012013322013
115105230700
1223b32a1b39
131195b4a484
1481d6c8b37
154a4a02c43
hex2cc0cbf1d

12013322013 has 54 divisors (see below), whose sum is σ = 22187631102. Its totient is φ = 6240659040.

The previous prime is 12013322011. The next prime is 12013322039. The reversal of 12013322013 is 31022331021.

It can be written as a sum of positive squares in only one way, i.e., 6096174084 + 5917147929 = 78078^2 + 76923^2 .

It is not a de Polignac number, because 12013322013 - 21 = 12013322011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013322011) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 59206 + ... + 165927.

Almost surely, 212013322013 is an apocalyptic number.

It is an amenable number.

12013322013 is a deficient number, since it is larger than the sum of its proper divisors (10174309089).

12013322013 is a wasteful number, since it uses less digits than its factorization.

12013322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225175 (or 225154 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013322013 its reverse (31022331021), we get a palindrome (43035653034).

The spelling of 12013322013 in words is "twelve billion, thirteen million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 53361 225133 675399 1575931 2026197 2476463 4727793 7429389 11031517 14183379 17335241 22288167 27241093 33094551 52005723 81723279 99283653 121346687 156017169 190687651 245169837 364040061 572062953 1092120183 1334813557 1716188859 4004440671 12013322013