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22013312013 = 32711142922229
BaseRepresentation
bin10100100000000110…
…000111110000001101
32002211010221010010100
4110200012013300031
5330040401441023
614040205401313
71406340031140
oct244006076015
962733833110
1022013312013
119376a39150
124324269239
1320ca833214
1410cb848057
1588c8acc43
hex520187c0d

22013312013 has 48 divisors (see below), whose sum is σ = 39672547200. Its totient is φ = 11426970240.

The previous prime is 22013311979. The next prime is 22013312021. The reversal of 22013312013 is 31021331022.

It is not a de Polignac number, because 22013312013 - 220 = 22012263437 is a prime.

It is a super-2 number, since 2×220133120132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013312033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979183 + ... + 1001411.

It is an arithmetic number, because the mean of its divisors is an integer number (826511400).

Almost surely, 222013312013 is an apocalyptic number.

It is an amenable number.

22013312013 is a deficient number, since it is larger than the sum of its proper divisors (17659235187).

22013312013 is a wasteful number, since it uses less digits than its factorization.

22013312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23682 (or 23679 counting only the distinct ones).

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

Adding to 22013312013 its reverse (31021331022), we get a palindrome (53034643035).

The spelling of 22013312013 in words is "twenty-two billion, thirteen million, three hundred twelve thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1429 4287 10003 12861 15719 22229 30009 47157 66687 90027 110033 141471 155603 200061 244519 330099 466809 733557 990297 1400427 1711633 2200671 5134899 15404697 31765241 95295723 222356687 285887169 349417651 667070061 1048252953 2001210183 2445923557 3144758859 7337770671 22013312013