Base | Representation |
---|---|
bin | 1000100111001111… |
… | …1101100010100000 |
3 | 12222010121211221100 |
4 | 2021303331202200 |
5 | 14213344200000 |
6 | 1021232154400 |
7 | 111203345220 |
oct | 21163754240 |
9 | 5863554840 |
10 | 2312100000 |
11 | a87135a51 |
12 | 546398a00 |
13 | 2ab020812 |
14 | 17d0dc080 |
15 | d7eb1a00 |
hex | 89cfd8a0 |
2312100000 has 432 divisors, whose sum is σ = 9417897216. Its totient is φ = 527040000.
The previous prime is 2312099989. The next prime is 2312100061. The reversal of 2312100000 is 12132.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6299817 + ... + 6300183.
It is an arithmetic number, because the mean of its divisors is an integer number (21800688).
Almost surely, 22312100000 is an apocalyptic number.
2312100000 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 2312100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708948608).
2312100000 is an abundant number, since it is smaller than the sum of its proper divisors (7105797216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2312100000 is an equidigital number, since it uses as much as digits as its factorization.
2312100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 415 (or 384 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 2312100000 is about 48084.3009723548. The cubic root of 2312100000 is about 1322.3168676873.
Adding to 2312100000 its reverse (12132), we get a palindrome (2312112132).
The spelling of 2312100000 in words is "two billion, three hundred twelve million, one hundred thousand".
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