| Base | Representation |
|---|---|
| bin | 11000011100010011… |
| … | …01001000010110000 |
| 3 | 1020212111221102200100 |
| 4 | 30032021221002300 |
| 5 | 203333302412240 |
| 6 | 10010040352400 |
| 7 | 643116540330 |
| oct | 141611510260 |
| 9 | 36774842610 |
| 10 | 13122310320 |
| 11 | 5624224a69 |
| 12 | 2662775700 |
| 13 | 1311827382 |
| 14 | 8c6ac70c0 |
| 15 | 51c061e30 |
| hex | 30e2690b0 |
13122310320 has 240 divisors, whose sum is σ = 50812587072. Its totient is φ = 2972712960.
The previous prime is 13122310303. The next prime is 13122310337. The reversal of 13122310320 is 2301322131.
13122310320 is a `hidden beast` number, since 1 + 31 + 2 + 2 + 310 + 320 = 666.
It is an interprime number because it is at equal distance from previous prime (13122310303) and next prime (13122310337).
It is a tau number, because it is divible by the number of its divisors (240).
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 = 13122310293 and 13122310302.
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 47 ways as a sum of consecutive naturals, for example, 558000 + ... + 581040.
Almost surely, 213122310320 is an apocalyptic number.
13122310320 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 13122310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25406293536).
13122310320 is an abundant number, since it is smaller than the sum of its proper divisors (37690276752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13122310320 is a wasteful number, since it uses less digits than its factorization.
13122310320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23180 (or 23171 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 13122310320 its reverse (2301322131), we get a palindrome (15423632451).
The spelling of 13122310320 in words is "thirteen billion, one hundred twenty-two million, three hundred ten thousand, three hundred twenty".
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