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123013203024132 = 223223532803144723
BaseRepresentation
bin11011111110000100111110…
…010001001101100100000100
3121010112221120121212102121100
4123332010332101031210010
5112110422014433233012
61113343252455020100
734624260563250051
oct3376047621154404
9533487517772540
10123013203024132
1136217674183383
121196894896a630
135384131404195
142253c29660028
15e34cc80518dc
hex6fe13e44d904

123013203024132 has 72 divisors (see below), whose sum is σ = 330591676169664. Its totient is φ = 38481570743616.

The previous prime is 123013203024119. The next prime is 123013203024133. The reversal of 123013203024132 is 231420302310321.

123013203024132 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 320 + 302 + 4 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123013203024096 and 123013203024105.

It is not an unprimeable number, because it can be changed into a prime (123013203024133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1401528478 + ... + 1401616245.

It is an arithmetic number, because the mean of its divisors is an integer number (4591551057912).

Almost surely, 2123013203024132 is an apocalyptic number.

123013203024132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123013203024132 is an abundant number, since it is smaller than the sum of its proper divisors (207578473145532).

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

123013203024132 is a wasteful number, since it uses less digits than its factorization.

123013203024132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803144809 (or 2803144804 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123013203024132 its reverse (231420302310321), we get a palindrome (354433505334453).

The spelling of 123013203024132 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 477 636 828 954 1219 1908 2438 3657 4876 7314 10971 14628 21942 43884 2803144723 5606289446 8409434169 11212578892 16818868338 25228302507 33637736676 50456605014 64472328629 100913210028 128944657258 148566670319 193416985887 257889314516 297133340638 386833971774 445700010957 580250957661 594266681276 773667943548 891400021914 1160501915322 1337100032871 1782800043828 2321003830644 2674200065742 3417033417337 5348400131484 6834066834674 10251100252011 13668133669348 20502200504022 30753300756033 41004401008044 61506601512066 123013203024132