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123013201051044 = 22339209631236761
BaseRepresentation
bin11011111110000100111110…
…001001101011110110100100
3121010112221120111011012001000
4123332010332021223312210
5112110422013432113134
61113343252344433300
734624260540421443
oct3376047611536644
9533487514135030
10123013201051044
1136217673055a27
1211968948178830
135384130b93085
142253c292a8d5a
15e34cc7cb1e99
hex6fe13e26bda4

123013201051044 has 48 divisors (see below), whose sum is σ = 318923717999040. Its totient is φ = 41004322672320.

The previous prime is 123013201050941. The next prime is 123013201051057. The reversal of 123013201051044 is 440150102310321.

123013201051044 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 132 + 0 + 10 + 510 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123013201050999 and 123013201051017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98845624 + ... + 100082384.

It is an arithmetic number, because the mean of its divisors is an integer number (6644244124980).

Almost surely, 2123013201051044 is an apocalyptic number.

It is an amenable number.

123013201051044 is an abundant number, since it is smaller than the sum of its proper divisors (195910516947996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123013201051044 is a wasteful number, since it uses less digits than its factorization.

123013201051044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157737 (or 2157729 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 123013201051044 its reverse (440150102310321), we get a palindrome (563163303361365).

The spelling of 123013201051044 in words is "one hundred twenty-three trillion, thirteen billion, two hundred one million, fifty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 920963 1236761 1841926 2473522 2762889 3683852 3710283 4947044 5525778 7420566 8288667 11051556 11130849 14841132 16577334 22261698 24866001 33154668 33392547 44523396 49732002 66785094 99464004 133570188 1139011120843 2278022241686 3417033362529 4556044483372 6834066725058 10251100087587 13668133450116 20502200175174 30753300262761 41004400350348 61506600525522 123013201051044