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123013310023032 = 233111335843039051
BaseRepresentation
bin11011111110000101000100…
…101001011000010101111000
3121010112221212002012112111120
4123332011010221120111320
5112110422224331214112
61113343311240225240
734624263332602152
oct3376050451302570
9533487762175446
10123013310023032
1136217719615220
121196897876b220
13538414a628540
142253c39953ad2
15e34cd2639e8c
hex6fe144a58578

123013310023032 has 64 divisors (see below), whose sum is σ = 361297833644160. Its totient is φ = 34409317488000.

The previous prime is 123013310023031. The next prime is 123013310023063. The reversal of 123013310023032 is 230320013310321.

It is a super-2 number, since 2×1230133100230322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123013310022993 and 123013310023011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013310023031) 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 15 ways as a sum of consecutive naturals, for example, 17921516094 + ... + 17921522957.

It is an arithmetic number, because the mean of its divisors is an integer number (5645278650690).

Almost surely, 2123013310023032 is an apocalyptic number.

123013310023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123013310023032 is an abundant number, since it is smaller than the sum of its proper divisors (238284523621128).

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

123013310023032 is a wasteful number, since it uses less digits than its factorization.

123013310023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35843039084 (or 35843039080 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123013310023032 its reverse (230320013310321), we get a palindrome (353333323333353).

The spelling of 123013310023032 in words is "one hundred twenty-three trillion, thirteen billion, three hundred ten million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 35843039051 71686078102 107529117153 143372156204 215058234306 286744312408 394273429561 430116468612 465959507663 788546859122 860232937224 931919015326 1182820288683 1397878522989 1577093718244 1863838030652 2365640577366 2795757045978 3154187436488 3727676061304 4731281154732 5125554584293 5591514091956 9462562309464 10251109168586 11183028183912 15376663752879 20502218337172 30753327505758 41004436674344 61506655011516 123013310023032