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23112122013 = 33173141173229
BaseRepresentation
bin10101100001100101…
…101111111010011101
32012122201112110002000
4111201211233322131
5334313200401023
614341220552513
71445511536631
oct254145577235
965581473060
1023112122013
119890210392
124590252739
132244388356
141193756dc1
159040ab243
hex56196fe9d

23112122013 has 128 divisors (see below), whose sum is σ = 38726553600. Its totient is φ = 13553049600.

The previous prime is 23112121997. The next prime is 23112122021. The reversal of 23112122013 is 31022121132.

It is not a de Polignac number, because 23112122013 - 24 = 23112121997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112129013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100926183 + ... + 100926411.

It is an arithmetic number, because the mean of its divisors is an integer number (302551200).

Almost surely, 223112122013 is an apocalyptic number.

It is an amenable number.

23112122013 is a deficient number, since it is larger than the sum of its proper divisors (15614431587).

23112122013 is a wasteful number, since it uses less digits than its factorization.

23112122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23112122013 its reverse (31022121132), we get a palindrome (54134243145).

The spelling of 23112122013 in words is "twenty-three billion, one hundred twelve million, one hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 17 27 31 41 51 93 123 153 173 229 279 369 459 519 527 687 697 837 1107 1271 1557 1581 2061 2091 2941 3813 3893 4671 4743 5363 6183 6273 7093 7099 8823 9389 11439 11679 14229 16089 18819 21279 21297 21607 26469 28167 34317 35037 39617 48267 63837 63891 64821 79407 84501 91171 105111 118851 120581 120683 144801 159613 191511 191673 194463 219883 253503 273513 291059 356553 361743 362049 478839 583389 659649 673489 820539 873177 1069659 1085229 1086147 1228127 1436517 1624297 1978947 2020467 2461617 2619531 3255687 3258441 3684381 3738011 4309551 4872891 4948003 5936841 6061401 7858593 11053143 11214033 14618673 14844009 18184203 20878159 27613049 33159429 33642099 43856019 44532027 50353207 62634477 82839147 100926297 133596081 151059621 187903431 248517441 453178863 563710293 745552323 856004519 1359536589 2568013557 7704040671 23112122013