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22021312313 = 72111329307353
BaseRepresentation
bin10100100000100100…
…101000111100111001
32002211200222120110202
4110200210220330321
5330044423443223
614041053051545
71406465031500
oct244044507471
962750876422
1022021312313
119380502970
124326a86bb5
1320cc3a4820
1410cc92b837
1588d43d428
hex520928f39

22021312313 has 96 divisors (see below), whose sum is σ = 31322712960. Its totient is φ = 15200317440.

The previous prime is 22021312309. The next prime is 22021312337. The reversal of 22021312313 is 31321312022.

It is not a de Polignac number, because 22021312313 - 22 = 22021312309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22021312343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62383145 + ... + 62383497.

It is an arithmetic number, because the mean of its divisors is an integer number (326278260).

Almost surely, 222021312313 is an apocalyptic number.

It is an amenable number.

22021312313 is a deficient number, since it is larger than the sum of its proper divisors (9301400647).

22021312313 is a wasteful number, since it uses less digits than its factorization.

22021312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22021312313 its reverse (31321312022), we get a palindrome (53342624335).

The spelling of 22021312313 in words is "twenty-two billion, twenty-one million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 11 13 29 49 77 91 143 203 307 319 353 377 539 637 1001 1421 2149 2233 2471 2639 3377 3883 3991 4147 4589 7007 8903 10237 15043 15631 17297 18473 23639 27181 27937 29029 32123 43901 50479 62321 71659 97933 108371 112607 115739 133081 165473 190267 195559 203203 224861 307307 353353 436247 501613 685531 758597 788249 810173 931567 1192081 1273129 1408823 1463891 2151149 2473471 3142759 4798717 5310179 5517743 5671211 6520969 8344567 8911903 9861761 10247237 15497053 21999313 34570349 40855867 58411969 62383321 69032327 71730659 108479371 153995191 241992443 285991069 449414537 759355597 1693947101 2001937483 3145901759 22021312313