| Base | Representation |
|---|---|
| bin | 1101010110101… |
| … | …11011001000000 |
| 3 | 21210210210001021 |
| 4 | 12223113121000 |
| 5 | 212140000141 |
| 6 | 15041115224 |
| 7 | 2530151566 |
| oct | 653273100 |
| 9 | 253723037 |
| 10 | 112031296 |
| 11 | 58269853 |
| 12 | 31628b14 |
| 13 | 1a296b10 |
| 14 | 10c43a36 |
| 15 | 9c7e6d1 |
| hex | 6ad7640 |
112031296 has 84 divisors (see below), whose sum is σ = 253354332. Its totient is φ = 48854016.
The previous prime is 112031291. The next prime is 112031323. The reversal of 112031296 is 692130211.
It can be written as a sum of positive squares in 2 ways, for example, as 36966400 + 75064896 = 6080^2 + 8664^2 .
It is a super-2 number, since 2×1120312962 = 25102022566879232, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 112031296.
It is not an unprimeable number, because it can be changed into a prime (112031291) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 300166 + ... + 300538.
It is an arithmetic number, because the mean of its divisors is an integer number (3016123).
Almost surely, 2112031296 is an apocalyptic number.
112031296 is a gapful number since it is divisible by the number (16) 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 112031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126677166).
112031296 is an abundant number, since it is smaller than the sum of its proper divisors (141323036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112031296 is a wasteful number, since it uses less digits than its factorization.
112031296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 436 (or 407 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 25.
The square root of 112031296 is about 10584.4837380006. The cubic root of 112031296 is about 482.0733461611.
The spelling of 112031296 in words is "one hundred twelve million, thirty-one thousand, two hundred ninety-six".
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