| Base | Representation |
|---|---|
| bin | 1110101100110… |
| … | …01110010101000 |
| 3 | 22121000222002000 |
| 4 | 13112121302220 |
| 5 | 223032011240 |
| 6 | 20123011000 |
| 7 | 3025101024 |
| oct | 726316250 |
| 9 | 277028060 |
| 10 | 123313320 |
| 11 | 63675139 |
| 12 | 35369a60 |
| 13 | 1c717080 |
| 14 | 1253d384 |
| 15 | ac5c430 |
| hex | 7599ca8 |
123313320 has 128 divisors (see below), whose sum is σ = 442713600. Its totient is φ = 30350592.
The previous prime is 123313303. The next prime is 123313331. The reversal of 123313320 is 23313321.
123313320 is a `hidden beast` number, since 1 + 2 + 331 + 332 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 123313293 and 123313302.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9649 + ... + 18431.
It is an arithmetic number, because the mean of its divisors is an integer number (3458700).
Almost surely, 2123313320 is an apocalyptic number.
123313320 is a gapful number since it is divisible by the number (10) 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 123313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221356800).
123313320 is an abundant number, since it is smaller than the sum of its proper divisors (319400280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123313320 is a wasteful number, since it uses less digits than its factorization.
123313320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8816 (or 8806 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 123313320 is about 11104.6530787774. The cubic root of 123313320 is about 497.7409016552.
Adding to 123313320 its reverse (23313321), we get a palindrome (146626641).
Subtracting from 123313320 its reverse (23313321), we obtain a palindrome (99999999).
It can be divided in two parts, 12331 and 3320, that added together give a palindrome (15651).
The spelling of 123313320 in words is "one hundred twenty-three million, three hundred thirteen thousand, three hundred twenty".
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