Base | Representation |
---|---|
bin | 10010110111110110… |
… | …10111010100000000 |
3 | 222011010120021022010 |
4 | 21123323113110000 |
5 | 131222322120412 |
6 | 4353224412520 |
7 | 506041322265 |
oct | 113373272400 |
9 | 28133507263 |
10 | 10132223232 |
11 | 432a41530a |
12 | 1b69317140 |
13 | c56203b81 |
14 | 6c194126c |
15 | 3e47ca33c |
hex | 25bed7500 |
10132223232 has 72 divisors (see below), whose sum is σ = 27896430240. Its totient is φ = 3260938240.
The previous prime is 10132223183. The next prime is 10132223239. The reversal of 10132223232 is 23232223101.
It is a happy number.
10132223232 is digitally balanced in base 2, 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 = 10132223199 and 10132223208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10132223239) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 205194 + ... + 249737.
It is an arithmetic number, because the mean of its divisors is an integer number (387450420).
Almost surely, 210132223232 is an apocalyptic number.
10132223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10132223232 is an abundant number, since it is smaller than the sum of its proper divisors (17764207008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132223232 is an equidigital number, since it uses as much as digits as its factorization.
10132223232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 454979 (or 454965 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
Adding to 10132223232 its reverse (23232223101), we get a palindrome (33364446333).
The spelling of 10132223232 in words is "ten billion, one hundred thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".
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