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233130202204002 = 2310110714092551709
BaseRepresentation
bin110101000000011111011010…
…111000111000011101100010
31010120110000210122000100212120
4311000133122320320131202
5221024101123231012002
62143454311505205110
7100051046511522405
oct6500373270703542
91116400718010776
10233130202204002
1168311a664a8054
1222192241030796
13a011111c7c08c
14417d7c2169d3c
151be43b9062cbc
hexd407dae38762

233130202204002 has 64 divisors (see below), whose sum is σ = 475615064131200. Its totient is φ = 76167463116800.

The previous prime is 233130202203979. The next prime is 233130202204027. The reversal of 233130202204002 is 200402202031332.

233130202204002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2331302022040023 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90086524 + ... + 92638232.

It is an arithmetic number, because the mean of its divisors is an integer number (7431485377050).

Almost surely, 2233130202204002 is an apocalyptic number.

233130202204002 is an abundant number, since it is smaller than the sum of its proper divisors (242484861927198).

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

233130202204002 is a wasteful number, since it uses less digits than its factorization.

233130202204002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553331.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 233130202204002 its reverse (200402202031332), we get a palindrome (433532404235334).

The spelling of 233130202204002 in words is "two hundred thirty-three trillion, one hundred thirty billion, two hundred two million, two hundred four thousand, two".

Divisors: 1 2 3 6 101 107 202 214 303 321 606 642 1409 2818 4227 8454 10807 21614 32421 64842 142309 150763 284618 301526 426927 452289 853854 904578 2551709 5103418 7655127 15227063 15310254 30454126 45681189 91362378 257722609 273032863 515445218 546065726 773167827 819098589 1546335654 1638197178 3595357981 7190715962 10786073943 21572147886 27576319163 55152638326 82728957489 165457914978 363131156081 384703303967 726262312162 769406607934 1089393468243 1154109911901 2178786936486 2308219823802 38855033700667 77710067401334 116565101102001 233130202204002