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232332213309 = 37241383100649
BaseRepresentation
bin1101100001100000010…
…1000011110000111101
3211012200122001022002020
43120120011003300331
512301304021311214
6254422033350353
722533260141400
oct3303005036075
9735618038066
10232332213309
118a593528649
123903b7083b9
1318ba7927941
14b360181d37
15609bbd44a9
hex3618143c3d

232332213309 has 48 divisors (see below), whose sum is σ = 370108569600. Its totient is φ = 129183720960.

The previous prime is 232332213301. The next prime is 232332213341. The reversal of 232332213309 is 903312233232.

It is not a de Polignac number, because 232332213309 - 23 = 232332213301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 232332213309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232332213301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258017 + ... + 2358665.

It is an arithmetic number, because the mean of its divisors is an integer number (7710595200).

Almost surely, 2232332213309 is an apocalyptic number.

It is an amenable number.

232332213309 is a deficient number, since it is larger than the sum of its proper divisors (137776356291).

232332213309 is a wasteful number, since it uses less digits than its factorization.

232332213309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101090 (or 101083 counting only the distinct ones).

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

The spelling of 232332213309 in words is "two hundred thirty-two billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred nine".

Divisors: 1 3 7 21 41 49 123 147 287 383 861 1149 2009 2681 6027 8043 15703 18767 47109 56301 100649 109921 301947 329763 704543 769447 2113629 2308341 4126609 4931801 12379827 14795403 28886263 38548567 86658789 115645701 202203841 269839969 606611523 809519907 1580491247 1888879783 4741473741 5666639349 11063438729 33190316187 77444071103 232332213309