Base | Representation |
---|---|
bin | 10011001100110… |
… | …101000011000000 |
3 | 211110010220102220 |
4 | 103030311003000 |
5 | 1124431130422 |
6 | 51544211040 |
7 | 10661026563 |
oct | 2314650300 |
9 | 743126386 |
10 | 322130112 |
11 | 15591a137 |
12 | 8ba69a80 |
13 | 51978945 |
14 | 30ad44da |
15 | 1d430e5c |
hex | 133350c0 |
322130112 has 112 divisors (see below), whose sum is σ = 882115584. Its totient is φ = 103680000.
The previous prime is 322130099. The next prime is 322130119. The reversal of 322130112 is 211031223.
322130112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 322130091 and 322130100.
It is not an unprimeable number, because it can be changed into a prime (322130119) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188537 + ... + 1188807.
It is an arithmetic number, because the mean of its divisors is an integer number (7876032).
Almost surely, 2322130112 is an apocalyptic number.
322130112 is a gapful number since it is divisible by the number (32) 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 322130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441057792).
322130112 is an abundant number, since it is smaller than the sum of its proper divisors (559985472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
322130112 is a wasteful number, since it uses less digits than its factorization.
322130112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 478 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 322130112 is about 17947.9835079042. The cubic root of 322130112 is about 685.5047069835.
Adding to 322130112 its reverse (211031223), we get a palindrome (533161335).
It can be divided in two parts, 3221 and 30112, that added together give a palindrome (33333).
The spelling of 322130112 in words is "three hundred twenty-two million, one hundred thirty thousand, one hundred twelve".
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