Base | Representation |
---|---|
bin | 1101100001011011110… |
… | …0111111001001000000 |
3 | 211012122022111102100001 |
4 | 3120112330333021000 |
5 | 12301234202220000 |
6 | 254420120405344 |
7 | 22532640432016 |
oct | 3302674771100 |
9 | 735568442301 |
10 | 232313320000 |
11 | 8a5838a3843 |
12 | 39035316854 |
13 | 18ba3a41178 |
14 | b35b8648b6 |
15 | 609a20146a |
hex | 3616f3f240 |
232313320000 has 140 divisors (see below), whose sum is σ = 576691071660. Its totient is φ = 92823808000.
The previous prime is 232313319991. The next prime is 232313320009. The reversal of 232313320000 is 23313232.
It is a happy number.
232313320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (232313319991) and next prime (232313320009).
It can be written as a sum of positive squares in 10 ways, for example, as 201830953536 + 30482366464 = 449256^2 + 174592^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 232313320000.
It is not an unprimeable number, because it can be changed into a prime (232313320009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44357382 + ... + 44362618.
Almost surely, 2232313320000 is an apocalyptic number.
232313320000 is a gapful number since it is divisible by the number (20) 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 232313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288345535830).
232313320000 is an abundant number, since it is smaller than the sum of its proper divisors (344377751660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232313320000 is an equidigital number, since it uses as much as digits as its factorization.
232313320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6378 (or 6353 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 19.
Adding to 232313320000 its reverse (23313232), we get a palindrome (232336633232).
The spelling of 232313320000 in words is "two hundred thirty-two billion, three hundred thirteen million, three hundred twenty thousand".
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