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123002311114341 = 3342457107300119
BaseRepresentation
bin11011111101111010110101…
…000011110111111001100101
3121010111220110112211002021000
4123331322311003313321211
5112110232213121124331
61113334252011343513
734623423635453031
oct3375726503677145
9533456415732230
10123002311114341
1136212a94a6233a
1211966809151b99
1353830b69c3849
1422534b4c891c1
15e3488bc140e6
hex6fdeb50f7e65

123002311114341 has 16 divisors (see below), whose sum is σ = 182229939798400. Its totient is φ = 81999608576544.

The previous prime is 123002311114279. The next prime is 123002311114349. The reversal of 123002311114341 is 143411113200321.

123002311114341 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 2 + 311 + 1 + 1 + 4 + 341 = 666.

It is not a de Polignac number, because 123002311114341 - 214 = 123002311097957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123002311114349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52503721 + ... + 54796398.

It is an arithmetic number, because the mean of its divisors is an integer number (11389371237400).

Almost surely, 2123002311114341 is an apocalyptic number.

It is an amenable number.

123002311114341 is a deficient number, since it is larger than the sum of its proper divisors (59227628684059).

123002311114341 is a wasteful number, since it uses less digits than its factorization.

123002311114341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107342585 (or 107342579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 123002311114341 its reverse (143411113200321), we get a palindrome (266413424314662).

The spelling of 123002311114341 in words is "one hundred twenty-three trillion, two billion, three hundred eleven million, one hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 9 27 42457 127371 382113 1146339 107300119 321900357 965701071 2897103213 4555641152383 13666923457149 41000770371447 123002311114341