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123331352144045 = 51923470312001819
BaseRepresentation
bin11100000010101101010001…
…011011110010100010101101
3121011200100202222120021102212
4130002231101123302202231
5112131130102122102140
61114145350242500205
734656252610200443
oct3402552133624255
9534610688507385
10123331352144045
113632a595053031
12119ba538364665
1353a81343147a6
1422653aad28b93
15e3d1e8c22765
hex702b516f28ad

123331352144045 has 32 divisors (see below), whose sum is σ = 162594896486400. Its totient is φ = 89389156405824.

The previous prime is 123331352144027. The next prime is 123331352144053. The reversal of 123331352144045 is 540441253133321.

It is a cyclic number.

It is not a de Polignac number, because 123331352144045 - 226 = 123331285035181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123331352143993 and 123331352144011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4275146 + ... + 16276964.

It is an arithmetic number, because the mean of its divisors is an integer number (5081090515200).

Almost surely, 2123331352144045 is an apocalyptic number.

It is an amenable number.

123331352144045 is a deficient number, since it is larger than the sum of its proper divisors (39263544342355).

123331352144045 is a wasteful number, since it uses less digits than its factorization.

123331352144045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006569.

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 123331352144045 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, three hundred fifty-two million, one hundred forty-four thousand, forty-five".

Divisors: 1 5 19 23 95 115 437 2185 4703 23515 89357 108169 446785 540845 2055211 10276055 12001819 60009095 228034561 276041837 1140172805 1380209185 5244794903 26223974515 56444554757 282222773785 1072446540383 1298224759411 5362232701915 6491123797055 24666270428809 123331352144045