Base | Representation |
---|---|
bin | 1000100111011101… |
… | …1001010101111000 |
3 | 12222012022120221020 |
4 | 2021313121111320 |
5 | 14214112002222 |
6 | 1021303342440 |
7 | 111214115100 |
oct | 21167312570 |
9 | 5865276836 |
10 | 2313000312 |
11 | a876a0407 |
12 | 546751a20 |
13 | 2ab27754c |
14 | 17d294200 |
15 | d80dd65c |
hex | 89dd9578 |
2313000312 has 96 divisors (see below), whose sum is σ = 6766059600. Its totient is φ = 656979456.
The previous prime is 2313000311. The next prime is 2313000317. The reversal of 2313000312 is 2130003132.
It is a junction number, because it is equal to n+sod(n) for n = 2313000291 and 2313000300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2313000311) 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 23 ways as a sum of consecutive naturals, for example, 197764 + ... + 209132.
Almost surely, 22313000312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2313000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383029800).
2313000312 is an abundant number, since it is smaller than the sum of its proper divisors (4453059288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2313000312 is a wasteful number, since it uses less digits than its factorization.
2313000312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11565 (or 11554 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 2313000312 is about 48093.6618693150. The cubic root of 2313000312 is about 1322.4884783809.
Adding to 2313000312 its reverse (2130003132), we get a palindrome (4443003444).
The spelling of 2313000312 in words is "two billion, three hundred thirteen million, three hundred twelve", and thus it is an aban number.
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