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123313103112 = 23343353338497
BaseRepresentation
bin111001011011000001…
…0001010000100001000
3102210021220100200120010
41302312002022010020
54010021123244422
6132352123431520
711623546040103
oct1626602120410
9383256320503
10123313103112
114832a039571
121ba953855a0
13b822706804
145d7b37373a
15331ac95b0c
hex1cb608a108

123313103112 has 64 divisors (see below), whose sum is σ = 316346690880. Its totient is φ = 40034598912.

The previous prime is 123313103077. The next prime is 123313103149. The reversal of 123313103112 is 211301313321.

It is a happy number.

It is a super-2 number, since 2×1233131031122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195048 + ... + 533544.

It is an arithmetic number, because the mean of its divisors is an integer number (4942917045).

Almost surely, 2123313103112 is an apocalyptic number.

123313103112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123313103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158173345440).

123313103112 is an abundant number, since it is smaller than the sum of its proper divisors (193033587768).

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

123313103112 is a wasteful number, since it uses less digits than its factorization.

123313103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338902 (or 338898 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 123313103112 its reverse (211301313321), we get a palindrome (334614416433).

The spelling of 123313103112 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 353 516 706 1032 1059 1412 2118 2824 4236 8472 15179 30358 45537 60716 91074 121432 182148 338497 364296 676994 1015491 1353988 2030982 2707976 4061964 8123928 14555371 29110742 43666113 58221484 87332226 116442968 119489441 174664452 238978882 349328904 358468323 477957764 716936646 955915528 1433873292 2867746584 5138045963 10276091926 15414137889 20552183852 30828275778 41104367704 61656551556 123313103112