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23313312332970 = 23511509712919469
BaseRepresentation
bin1010100110100000011011…
…01100110011110010101010
310001112201201211011101121020
411103100031230303302222
511023431130424123340
6121325553212153310
74624221420122622
oct523201554636252
9101481654141536
1023313312332970
117479136042890
122746339168836
13100158893c72a
145a85282c5882
152a66758339d0
hex15340db33caa

23313312332970 has 128 divisors (see below), whose sum is σ = 61170129504000. Its totient is φ = 5639527618560.

The previous prime is 23313312332953. The next prime is 23313312332971. The reversal of 23313312332970 is 7923321331332.

It is a super-2 number, since 2×233133123329702 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23313312332971) 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, 1197448396 + ... + 1197467864.

It is an arithmetic number, because the mean of its divisors is an integer number (477891636750).

Almost surely, 223313312332970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23313312332970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30585064752000).

23313312332970 is an abundant number, since it is smaller than the sum of its proper divisors (37856817171030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23313312332970 is a wasteful number, since it uses less digits than its factorization.

23313312332970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27128.

The product of its (nonzero) digits is 367416, while the sum is 42.

The spelling of 23313312332970 in words is "twenty-three trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 509 1018 1527 2545 3054 5090 5599 7129 7635 11198 14258 15270 16797 19469 21387 27995 33594 35645 38938 42774 55990 58407 71290 78419 83985 97345 106935 116814 156838 167970 194690 213870 214159 235257 292035 392095 428318 470514 584070 642477 784190 1070795 1176285 1284954 2141590 2352570 3212385 3628661 6424770 7257322 9909721 10885983 18143305 19819442 21771966 29729163 36286610 39915271 49548605 54429915 59458326 79830542 99097210 108859830 109006931 119745813 138794501 148645815 199576355 218013862 239491626 277589002 297291630 327020793 399152710 416383503 545034655 598729065 654041586 693972505 832767006 1090069310 1197458130 1387945010 1526739511 1635103965 2081917515 3053479022 3270207930 4163835030 4580218533 7633697555 9160437066 15267395110 22901092665 45802185330 70646401009 141292802018 211939203027 353232005045 423878406054 706464010090 777110411099 1059696015135 1554220822198 2119392030270 2331331233297 3885552055495 4662662466594 7771104110990 11656656166485 23313312332970