Search a number
-
+
323112122012013 = 319151154930238017
BaseRepresentation
bin100100101110111100110011…
…1010000010101000101101101
31120101001012212100000201120120
41021131321213100111011231
5314322332111213341023
63103111354253435153
7125026036411242345
oct11135714720250555
91511035770021516
10323112122012013
1193a540993a6384
12302a5363a9bab9
1310b3a45b23c649
1459b09d2909d25
152754d4b4958e3
hex125de6741516d

323112122012013 has 64 divisors (see below), whose sum is σ = 456996750336000. Its totient is φ = 202496203238400.

The previous prime is 323112122012003. The next prime is 323112122012087. The reversal of 323112122012013 is 310210221211323.

It is not a de Polignac number, because 323112122012013 - 216 = 323112121946477 is a prime.

It is a super-2 number, since 2×3231121220120132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323112122012003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40303366581 + ... + 40303374597.

It is an arithmetic number, because the mean of its divisors is an integer number (7140574224000).

Almost surely, 2323112122012013 is an apocalyptic number.

It is an amenable number.

323112122012013 is a deficient number, since it is larger than the sum of its proper divisors (133884628323987).

323112122012013 is a wasteful number, since it uses less digits than its factorization.

323112122012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12762.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 323112122012013 its reverse (310210221211323), we get a palindrome (633322343223336).

The spelling of 323112122012013 in words is "three hundred twenty-three trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, thirteen".

Divisors: 1 3 19 57 151 453 1549 2869 3023 4647 8017 8607 9069 24051 29431 57437 88293 152323 172311 233899 456473 456969 701697 1210567 1369419 3631701 4444081 4682627 8672987 12418333 13332243 14047881 23000773 24235391 26018961 37254999 69002319 72706173 88969913 235948327 266909739 460472429 707076677 707844981 1381417287 1875168283 2121230031 3659544041 5625504849 10978632123 13434456863 35628197377 37540620659 40303370589 69531336779 106884592131 112621861977 208594010337 713271792521 2139815377563 5668633719509 17005901158527 107704040670671 323112122012013