Base | Representation |
---|---|
bin | 1011001100101110101110… |
… | …1110000110101010010000 |
3 | 1121121010212012122012101101 |
4 | 2303023223232012222100 |
5 | 3103220200214031000 |
6 | 42104355520514144 |
7 | 2410415551413040 |
oct | 263135356065220 |
9 | 47533765565341 |
10 | 12313331002000 |
11 | 3a18066385226 |
12 | 146a4a577b954 |
13 | 6b41b0354052 |
14 | 307d7b40d720 |
15 | 165470b15e6a |
hex | b32ebb86a90 |
12313331002000 has 160 divisors (see below), whose sum is σ = 34750991508480. Its totient is φ = 4131889574400.
The previous prime is 12313331001989. The next prime is 12313331002009. The reversal of 12313331002000 is 20013331321.
12313331002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (12313331002009) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8698635 + ... + 10014634.
It is an arithmetic number, because the mean of its divisors is an integer number (217193696928).
Almost surely, 212313331002000 is an apocalyptic number.
12313331002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12313331002000 is an abundant number, since it is smaller than the sum of its proper divisors (22437660506480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12313331002000 is a wasteful number, since it uses less digits than its factorization.
12313331002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18713346 (or 18713330 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 19.
Adding to 12313331002000 its reverse (20013331321), we get a palindrome (12333344333321).
The spelling of 12313331002000 in words is "twelve trillion, three hundred thirteen billion, three hundred thirty-one million, two thousand".
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