Base | Representation |
---|---|
bin | 1101010111100… |
… | …00111111000000 |
3 | 21211000002211221 |
4 | 12223300333000 |
5 | 212201324003 |
6 | 15043244424 |
7 | 2531066326 |
oct | 653607700 |
9 | 254002757 |
10 | 112136128 |
11 | 58330595 |
12 | 31679714 |
13 | 1a302750 |
14 | 10c6dd16 |
15 | 9ca07bd |
hex | 6af0fc0 |
112136128 has 56 divisors (see below), whose sum is σ = 244254528. Its totient is φ = 50758656.
The previous prime is 112136113. The next prime is 112136179. The reversal of 112136128 is 821631211.
It is a super-3 number, since 3×1121361283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42825 + ... + 45367.
It is an arithmetic number, because the mean of its divisors is an integer number (4361688).
Almost surely, 2112136128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 112136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122127264).
112136128 is an abundant number, since it is smaller than the sum of its proper divisors (132118400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112136128 is a wasteful number, since it uses less digits than its factorization.
112136128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2621 (or 2611 counting only the distinct ones).
The product of its digits is 576, while the sum is 25.
The square root of 112136128 is about 10589.4347346778. The cubic root of 112136128 is about 482.2236641525.
Adding to 112136128 its reverse (821631211), we get a palindrome (933767339).
It can be divided in two parts, 1121 and 36128, that added together give a square (37249 = 1932).
The spelling of 112136128 in words is "one hundred twelve million, one hundred thirty-six thousand, one hundred twenty-eight".
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