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123342350134311 = 32711177983189227
BaseRepresentation
bin11100000010110111100000…
…111101110010110000100111
3121011201102011110020001211200
4130002313200331302300213
5112131320113113244221
61114154405435533543
734660122263443140
oct3402674075626047
9534642143201750
10123342350134311
1136334219138990
1211a006a75ba2b3
1353a91979b7439
142265b31834ac7
15e3d63e516426
hex702de0f72c27

123342350134311 has 24 divisors (see below), whose sum is σ = 222123020156544. Its totient is φ = 64073948121360.

The previous prime is 123342350134219. The next prime is 123342350134319. The reversal of 123342350134311 is 113431053243321.

123342350134311 is a `hidden beast` number, since 1 + 2 + 334 + 2 + 3 + 5 + 0 + 1 + 3 + 4 + 311 = 666.

It is not a de Polignac number, because 123342350134311 - 210 = 123342350133287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123342350134319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88991593921 + ... + 88991595306.

It is an arithmetic number, because the mean of its divisors is an integer number (9255125839856).

Almost surely, 2123342350134311 is an apocalyptic number.

123342350134311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123342350134311 is a deficient number, since it is larger than the sum of its proper divisors (98780670022233).

123342350134311 is a wasteful number, since it uses less digits than its factorization.

123342350134311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177983189251 (or 177983189248 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 123342350134311 in words is "one hundred twenty-three trillion, three hundred forty-two billion, three hundred fifty million, one hundred thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 177983189227 533949567681 1245882324589 1601848703043 1957815081497 3737646973767 5873445244491 11212940921301 13704705570479 17620335733473 41114116711437 123342350134311