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234211054332105 = 325171070928588873
BaseRepresentation
bin110101010000001110000010…
…101100100010100011001001
31010201021100200001222110100200
4311100032002230202203021
5221144303214402111410
62150043023433322413
7100222122156156504
oct6520160254424311
91121240601873320
10234211054332105
1168699394334524
1222327808266409
13a08c013a84526
1441b9c385a613b
151c125789ba3c0
hexd50382b228c9

234211054332105 has 48 divisors (see below), whose sum is σ = 429886324118160. Its totient is φ = 117553782288384.

The previous prime is 234211054332091. The next prime is 234211054332107. The reversal of 234211054332105 is 501233450112432.

234211054332105 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 1 + 1 + 0 + 5 + 433 + 210 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12993264144 + 234198061067961 = 113988^2 + 15303531^2 .

It is not a de Polignac number, because 234211054332105 - 29 = 234211054331593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 234211054332105.

It is not an unprimeable number, because it can be changed into a prime (234211054332107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6102052 + ... + 22486821.

It is an arithmetic number, because the mean of its divisors is an integer number (8955965085795).

Almost surely, 2234211054332105 is an apocalyptic number.

It is an amenable number.

234211054332105 is a deficient number, since it is larger than the sum of its proper divisors (195675269786055).

234211054332105 is a wasteful number, since it uses less digits than its factorization.

234211054332105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28599610 (or 28599607 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 234211054332105 in words is "two hundred thirty-four trillion, two hundred eleven billion, fifty-four million, three hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 10709 32127 53545 96381 160635 182053 481905 546159 910265 1638477 2730795 8192385 28588873 85766619 142944365 257299857 428833095 486010841 1286499285 1458032523 2430054205 4374097569 7290162615 21870487845 306158240957 918474722871 1530791204785 2755424168613 4592373614355 5204690096269 13777120843065 15614070288807 26023450481345 46842210866421 78070351444035 234211054332105