Base | Representation |
---|---|
bin | 1101100001000011111… |
… | …0110011001101000100 |
3 | 211012101022222100101002 |
4 | 3120100332303031010 |
5 | 12301033030211400 |
6 | 254402141152432 |
7 | 22530313025015 |
oct | 3302076631504 |
9 | 735338870332 |
10 | 232213132100 |
11 | 8a532294124 |
12 | 3900785b718 |
13 | 18b89062ca1 |
14 | b34c42500c |
15 | 6091510ed5 |
hex | 3610fb3344 |
232213132100 has 36 divisors (see below), whose sum is σ = 503923410900. Its totient is φ = 92881397760.
The previous prime is 232213132097. The next prime is 232213132117. The reversal of 232213132100 is 1231312232.
232213132100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 31315549444 + 200897582656 = 176962^2 + 448216^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4772696 + ... + 4821104.
It is an arithmetic number, because the mean of its divisors is an integer number (13997872525).
Almost surely, 2232213132100 is an apocalyptic number.
232213132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
232213132100 is an abundant number, since it is smaller than the sum of its proper divisors (271710278800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232213132100 is a wasteful number, since it uses less digits than its factorization.
232213132100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96392 (or 96385 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 232213132100 its reverse (1231312232), we get a palindrome (233444444332).
The spelling of 232213132100 in words is "two hundred thirty-two billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred".
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