Base | Representation |
---|---|
bin | 111001011011000001… |
… | …0001001110111100000 |
3 | 102210021220100122110012 |
4 | 1302312002021313200 |
5 | 4010021123233204 |
6 | 132352123424052 |
7 | 11623546034540 |
oct | 1626602116740 |
9 | 383256318405 |
10 | 123313102304 |
11 | 4832a0389a7 |
12 | 1ba95385028 |
13 | b822706332 |
14 | 5d7b373320 |
15 | 331ac9576e |
hex | 1cb6089de0 |
123313102304 has 24 divisors (see below), whose sum is σ = 277454480688. Its totient is φ = 52848472320.
The previous prime is 123313102277. The next prime is 123313102309. The reversal of 123313102304 is 403201313321.
123313102304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1233131023042 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 123313102304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123313102309) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275252237 + ... + 275252684.
It is an arithmetic number, because the mean of its divisors is an integer number (11560603362).
Almost surely, 2123313102304 is an apocalyptic number.
123313102304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
123313102304 is an abundant number, since it is smaller than the sum of its proper divisors (154141378384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123313102304 is an equidigital number, since it uses as much as digits as its factorization.
123313102304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 550504938 (or 550504930 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 23.
Adding to 123313102304 its reverse (403201313321), we get a palindrome (526514415625).
The spelling of 123313102304 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred two thousand, three hundred four".
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