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232205233314021 = 3111719155336073889
BaseRepresentation
bin110100110011000001111110…
…011100100101100011100101
31010110011121021221212020202020
4310303001332130211203211
5220413422304212022041
62141505340031533353
766624163101631302
oct6463017634454345
91113147257766666
10232205233314021
1167a9576069a6a0
1222062b1a98a259
139c74b2355ca76
14414ab169b80a9
151bca2ce95b866
hexd3307e7258e5

232205233314021 has 128 divisors (see below), whose sum is σ = 376886761574400. Its totient is φ = 125333214658560.

The previous prime is 232205233314013. The next prime is 232205233314023. The reversal of 232205233314021 is 120413332502232.

It is not a de Polignac number, because 232205233314021 - 23 = 232205233314013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232205233314023) 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, 59708209245 + ... + 59708213133.

It is an arithmetic number, because the mean of its divisors is an integer number (2944427824800).

Almost surely, 2232205233314021 is an apocalyptic number.

It is an amenable number.

232205233314021 is a deficient number, since it is larger than the sum of its proper divisors (144681528260379).

232205233314021 is a wasteful number, since it uses less digits than its factorization.

232205233314021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099.

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 232205233314021 its reverse (120413332502232), we get a palindrome (352618565816253).

The spelling of 232205233314021 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred thirty-three million, three hundred fourteen thousand, twenty-one".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 627 969 1553 3553 3607 3889 4659 10659 10821 11667 17083 26401 29507 39677 42779 51249 61319 66113 68533 73891 79203 88521 119031 128337 183957 198339 205599 221673 290411 324577 501619 674509 727243 753863 812801 871233 973731 1165061 1256147 1504857 2023527 2181729 2261589 2438403 3495183 3768441 5517809 5601671 6039617 12815671 13817617 14027623 16553427 16805013 18118851 38447013 41452851 42082869 61618381 66435787 95228407 102673489 106431749 114752723 154303853 184855143 199307361 238469591 266524837 285685221 308020467 319295247 344258169 462911559 715408773 799574511 1047512477 1129408379 1170749239 1262279953 1809339733 1950796291 2623165501 2931773207 3142537431 3388225137 3512247717 3786839859 4530922229 5428019199 5852388873 7869496503 8795319621 13592766687 19902737063 21458759201 21784898519 49840144519 59708211189 64376277603 65354695557 149520433557 239633883709 370343274823 413913071861 718901651127 1111029824469 1241739215583 4073776023053 4553043790471 7036522221637 12221328069159 13659131371413 21109566664911 77401744438007 232205233314021