| Base | Representation |
|---|---|
| bin | 110100010010110111… |
| … | …1100100111011100000 |
| 3 | 101201212112201221020000 |
| 4 | 1220211233210323200 |
| 5 | 3314443402104340 |
| 6 | 123331353420000 |
| 7 | 11053646316600 |
| oct | 1504557447340 |
| 9 | 351775657200 |
| 10 | 112302378720 |
| 11 | 43699846344 |
| 12 | 19921a0a600 |
| 13 | a7894c598c |
| 14 | 5614cb0c00 |
| 15 | 2dc42d8d30 |
| hex | 1a25be4ee0 |
112302378720 has 720 divisors, whose sum is σ = 466456248720. Its totient is φ = 25367924736.
The previous prime is 112302378703. The next prime is 112302378733. The reversal of 112302378720 is 27873203211.
112302378720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×1123023787202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 119 ways as a sum of consecutive naturals, for example, 56517567 + ... + 56519553.
It is an arithmetic number, because the mean of its divisors is an integer number (647855901).
Almost surely, 2112302378720 is an apocalyptic number.
112302378720 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 112302378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233228124360).
112302378720 is an abundant number, since it is smaller than the sum of its proper divisors (354153870000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112302378720 is a wasteful number, since it uses less digits than its factorization.
112302378720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2117 (or 2093 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 36.
The spelling of 112302378720 in words is "one hundred twelve billion, three hundred two million, three hundred seventy-eight thousand, seven hundred twenty".
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