| Base | Representation |
|---|---|
| bin | 110100100011101010… |
| … | …0101111001111010000 |
| 3 | 101210022210212002120110 |
| 4 | 1221013110233033100 |
| 5 | 3322122114042100 |
| 6 | 123503321041320 |
| 7 | 11103630126240 |
| oct | 1510724571720 |
| 9 | 353283762513 |
| 10 | 112865768400 |
| 11 | 43958869350 |
| 12 | 19a5a626240 |
| 13 | a849143858 |
| 14 | 5669a47b20 |
| 15 | 2e089c4250 |
| hex | 1a4752f3d0 |
112865768400 has 960 divisors, whose sum is σ = 483834746880. Its totient is φ = 21781094400.
The previous prime is 112865768387. The next prime is 112865768413. The reversal of 112865768400 is 4867568211.
112865768400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (112865768387) and next prime (112865768413).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 112865768400.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93046194 + ... + 93047406.
It is an arithmetic number, because the mean of its divisors is an integer number (503994528).
Almost surely, 2112865768400 is an apocalyptic number.
112865768400 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 112865768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241917373440).
112865768400 is an abundant number, since it is smaller than the sum of its proper divisors (370968978480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112865768400 is a wasteful number, since it uses less digits than its factorization.
112865768400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).
The product of its (nonzero) digits is 645120, while the sum is 48.
The spelling of 112865768400 in words is "one hundred twelve billion, eight hundred sixty-five million, seven hundred sixty-eight thousand, four hundred".
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