Base | Representation |
---|---|
bin | 110100010011011101… |
… | …0110110011100000000 |
3 | 101201220220212110010210 |
4 | 1220212322312130000 |
5 | 3320013430024412 |
6 | 123333340354120 |
7 | 11054306123022 |
oct | 1504672663400 |
9 | 351826773123 |
10 | 112322111232 |
11 | 436a99a3701 |
12 | 19928545940 |
13 | a790614416 |
14 | 561776a012 |
15 | 2dc5dd583c |
hex | 1a26eb6700 |
112322111232 has 144 divisors (see below), whose sum is σ = 307577702432. Its totient is φ = 36362649600.
The previous prime is 112322111171. The next prime is 112322111263. The reversal of 112322111232 is 232111223211.
112322111232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1123221112322 (a number of 23 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 112322111199 and 112322111208.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17074728 + ... + 17081304.
Almost surely, 2112322111232 is an apocalyptic number.
112322111232 is a gapful number since it is divisible by the number (12) 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 112322111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153788851216).
112322111232 is an abundant number, since it is smaller than the sum of its proper divisors (195255591200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112322111232 is an equidigital number, since it uses as much as digits as its factorization.
112322111232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7234 (or 7220 counting only the distinct ones).
The product of its digits is 288, while the sum is 21.
Adding to 112322111232 its reverse (232111223211), we get a palindrome (344433334443).
The spelling of 112322111232 in words is "one hundred twelve billion, three hundred twenty-two million, one hundred eleven thousand, two hundred thirty-two".
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