Base | Representation |
---|---|
bin | 1101010110101… |
… | …00111101000000 |
3 | 21210210021100111 |
4 | 12223110331000 |
5 | 212134140222 |
6 | 15041001104 |
7 | 2530110514 |
oct | 653247500 |
9 | 253707314 |
10 | 112021312 |
11 | 582622a7 |
12 | 31623194 |
13 | 1a292400 |
14 | 10c40144 |
15 | 9c7b777 |
hex | 6ad4f40 |
112021312 has 42 divisors (see below), whose sum is σ = 240730278. Its totient is φ = 51697152.
The previous prime is 112021303. The next prime is 112021333. The reversal of 112021312 is 213120211.
It can be written as a sum of positive squares in 3 ways, for example, as 256 + 112021056 = 16^2 + 10584^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a junction number, because it is equal to n+sod(n) for n = 112021292 and 112021301.
It is a congruent number.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 5638 + ... + 15994.
Almost surely, 2112021312 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 112021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120365139).
112021312 is an abundant number, since it is smaller than the sum of its proper divisors (128708966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112021312 is a wasteful number, since it uses less digits than its factorization.
112021312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10395 (or 10372 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 112021312 is about 10584.0120937195. The cubic root of 112021312 is about 482.0590252721.
Adding to 112021312 its reverse (213120211), we get a palindrome (325141523).
The spelling of 112021312 in words is "one hundred twelve million, twenty-one thousand, three hundred twelve".
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