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222221020202013 = 37193468716056301
BaseRepresentation
bin110010100001101111011100…
…111110001000010000011101
31002010211010021222110000000010
4302201233130332020100131
5213111332122132431023
62104342532150353433
764543640016506340
oct6241573476102035
91063733258400003
10222221020202013
1164896450683248
1220b0bb0a05b879
1396cc476c922b1
143cc37aa3c4457
151aa572a965093
hexca1bdcf8841d

222221020202013 has 32 divisors (see below), whose sum is σ = 356455042416640. Its totient is φ = 120296625508800.

The previous prime is 222221020202009. The next prime is 222221020202033. The reversal of 222221020202013 is 310202020122222.

222221020202013 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222221020202013 - 22 = 222221020202009 is a prime.

It is a super-3 number, since 3×2222210202020133 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221020202033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5811963 + ... + 21868263.

It is an arithmetic number, because the mean of its divisors is an integer number (11139220075520).

Almost surely, 2222221020202013 is an apocalyptic number.

It is an amenable number.

222221020202013 is a deficient number, since it is larger than the sum of its proper divisors (134234022214627).

222221020202013 is a wasteful number, since it uses less digits than its factorization.

222221020202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16091017.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 222221020202013 its reverse (310202020122222), we get a palindrome (532423040324235).

The spelling of 222221020202013 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twenty million, two hundred two thousand, thirteen".

Divisors: 1 3 7 19 21 57 133 399 34687 104061 242809 659053 728427 1977159 4613371 13840113 16056301 48168903 112394107 305069719 337182321 915209157 2135488033 6406464099 556944912787 1670834738361 3898614389509 10581953342953 11695843168527 31745860028859 74073673400671 222221020202013