Base | Representation |
---|---|
bin | 1011110110000010011101… |
… | …0111011100110101100000 |
3 | 1201002222122100111122120100 |
4 | 2331200213113130311200 |
5 | 3201332101313102240 |
6 | 43410403442142400 |
7 | 2512611053415114 |
oct | 275404727346540 |
9 | 51088570448510 |
10 | 13023001300320 |
11 | 41710297a8100 |
12 | 1563b40951a00 |
13 | 7360aa0b13ab |
14 | 330460b71744 |
15 | 178b58b51e30 |
hex | bd8275dcd60 |
13023001300320 has 432 divisors, whose sum is σ = 50972220595296. Its totient is φ = 3019825459200.
The previous prime is 13023001300319. The next prime is 13023001300333. The reversal of 13023001300320 is 2300310032031.
13023001300320 is a `hidden beast` number, since 1 + 30 + 2 + 300 + 1 + 300 + 32 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 13023001300293 and 13023001300302.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2382700 + ... + 5632340.
It is an arithmetic number, because the mean of its divisors is an integer number (117991251378).
Almost surely, 213023001300320 is an apocalyptic number.
13023001300320 is a gapful number since it is divisible by the number (10) 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 13023001300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25486110297648).
13023001300320 is an abundant number, since it is smaller than the sum of its proper divisors (37949219294976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13023001300320 is a wasteful number, since it uses less digits than its factorization.
13023001300320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3249707 (or 3249685 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 13023001300320 its reverse (2300310032031), we get a palindrome (15323311332351).
The spelling of 13023001300320 in words is "thirteen trillion, twenty-three billion, one million, three hundred thousand, three hundred twenty".
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