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204024321344013 = 32321372118215417
BaseRepresentation
bin101110011000111100011101…
…001100110000001000001101
3222202101112102202020001022120
4232120330131030300020031
5203220213302231002023
62001531251310203153
760655161610325262
oct5630743514601015
9882345382201276
10204024321344013
115a01025754a725
121aa713444b34b9
1389ac545b15821
143854b8912b269
15188c21a3638e3
hexb98f1d33020d

204024321344013 has 96 divisors (see below), whose sum is σ = 288211222922112. Its totient is φ = 128360447846400.

The previous prime is 204024321343951. The next prime is 204024321344027. The reversal of 204024321344013 is 310443123420402.

It is not a de Polignac number, because 204024321344013 - 29 = 204024321343501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204024321344713) 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, 37663708081 + ... + 37663713497.

It is an arithmetic number, because the mean of its divisors is an integer number (3002200238772).

Almost surely, 2204024321344013 is an apocalyptic number.

204024321344013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

204024321344013 is a deficient number, since it is larger than the sum of its proper divisors (84186901578099).

204024321344013 is a wasteful number, since it uses less digits than its factorization.

204024321344013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 204024321344013 its reverse (310443123420402), we get a palindrome (514467444764415).

The spelling of 204024321344013 in words is "two hundred four trillion, twenty-four billion, three hundred twenty-one million, three hundred forty-four thousand, thirteen".

Divisors: 1 3 23 69 137 211 411 529 633 821 1587 2463 3151 4853 5417 9453 14559 16251 18883 28907 56649 72473 86721 111619 112477 124591 173231 217419 334857 337431 373773 434309 519693 664861 742129 1142987 1302927 1994583 2226387 2586971 2865593 3428961 3984313 4447357 7760913 8596779 11952939 13342071 15291803 17068967 23732647 26288701 45875409 51206901 59500333 71197941 78866103 91639199 102289211 156589219 178500999 274917597 306867633 392586241 469767657 545850881 604640123 609287909 938392327 1177758723 1637552643 1813920369 1827863727 2352651853 2815176981 3601552037 7057955559 10804656111 12554570263 14013621907 21583023521 37663710789 42040865721 64749070563 82835696851 128559748799 248507090553 322313303861 385679246397 496409540983 966939911583 1489228622949 2956874222377 8870622667131 68008107114671 204024321344013