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232230033201309 = 311136798317414721
BaseRepresentation
bin110100110011011001000100…
…101000101001100010011101
31010110020222022022020001112020
4310303121010220221202131
5220414324101444420214
62141525000543330353
766626031466325553
oct6463310450514235
91113228268201466
10232230033201309
1167aa5227577010
12220678a02b09b9
139c7727649c8a0
14414bdca54dbd3
151bcac81ca14a9
hexd33644a2989d

232230033201309 has 128 divisors (see below), whose sum is σ = 369868560961536. Its totient is φ = 127749118464000.

The previous prime is 232230033201307. The next prime is 232230033201379. The reversal of 232230033201309 is 903102330032232.

It is not a de Polignac number, because 232230033201309 - 21 = 232230033201307 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232230033201309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232230033201301) 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, 49190854069 + ... + 49190858789.

It is an arithmetic number, because the mean of its divisors is an integer number (2889598132512).

Almost surely, 2232230033201309 is an apocalyptic number.

It is an amenable number.

232230033201309 is a deficient number, since it is larger than the sum of its proper divisors (137638527760227).

232230033201309 is a wasteful number, since it uses less digits than its factorization.

232230033201309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539.

The product of its (nonzero) digits is 34992, while the sum is 33.

The spelling of 232230033201309 in words is "two hundred thirty-two trillion, two hundred thirty billion, thirty-three million, two hundred one thousand, three hundred nine".

Divisors: 1 3 11 13 33 39 67 143 201 429 737 871 983 1741 2211 2613 2949 4721 5223 9581 10813 12779 14163 19151 22633 28743 32439 38337 51931 57453 61373 65861 67899 116647 140569 155793 184119 197583 248963 316307 349941 421707 675103 724471 746889 856193 948921 1283117 1516411 1711403 2025309 2173413 2568579 3479377 3849351 4111991 4549233 4640743 5134209 8219261 9418123 10438131 12335973 13922229 16680521 18825433 22248239 24657783 28254369 45231901 50041563 51048173 56476299 60329659 66744717 90411871 106850393 114664001 135695703 153144519 180988977 244730629 271235613 310929781 320551179 343992003 550690487 663626249 734191887 932789343 1175354323 1261304011 1490632013 1652071461 1990878747 3420227591 3526062969 3783912033 4042087153 4471896039 6057595357 7158976331 8079533563 10260682773 12126261459 16396952143 18172786071 21476928993 24238600689 44462958683 49190856429 78748739641 88874869193 105033936319 133388876049 236246218923 266624607579 315101808957 541328748721 1155373299509 1623986246163 3466119898527 5954616235931 7037273733373 17863848707793 21111821200119 77410011067103 232230033201309