| Base | Representation |
|---|---|
| bin | 11000011011000101… |
| … | …01111010010111000 |
| 3 | 1020211210202022122100 |
| 4 | 30031202233102320 |
| 5 | 203323200043222 |
| 6 | 10005034023400 |
| 7 | 642634054455 |
| oct | 141542572270 |
| 9 | 36753668570 |
| 10 | 13112112312 |
| 11 | 561949a062 |
| 12 | 265b277b60 |
| 13 | 130c696650 |
| 14 | 8c55d082c |
| 15 | 51b1ea4ac |
| hex | 30d8af4b8 |
13112112312 has 96 divisors (see below), whose sum is σ = 38286874080. Its totient is φ = 4029937920.
The previous prime is 13112112301. The next prime is 13112112329. The reversal of 13112112312 is 21321121131.
13112112312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 873333 + ... + 888219.
It is an arithmetic number, because the mean of its divisors is an integer number (398821605).
Almost surely, 213112112312 is an apocalyptic number.
13112112312 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 13112112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19143437040).
13112112312 is an abundant number, since it is smaller than the sum of its proper divisors (25174761768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13112112312 is a wasteful number, since it uses less digits than its factorization.
13112112312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15853 (or 15846 counting only the distinct ones).
The product of its digits is 72, while the sum is 18.
Adding to 13112112312 its reverse (21321121131), we get a palindrome (34433233443).
The spelling of 13112112312 in words is "thirteen billion, one hundred twelve million, one hundred twelve thousand, three hundred twelve".
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