Base | Representation |
---|---|
bin | 10010110111101000… |
… | …00100001110000000 |
3 | 222010222222001212021 |
4 | 21123310010032000 |
5 | 131221324410031 |
6 | 4353115411224 |
7 | 506016133351 |
oct | 113364041600 |
9 | 28128861767 |
10 | 10130310016 |
11 | 4329328942 |
12 | 1b68753b14 |
13 | c559b40a8 |
14 | 6c15a3d28 |
15 | 3e454d511 |
hex | 25bd04380 |
10130310016 has 64 divisors (see below), whose sum is σ = 20702246400. Its totient is φ = 4935997440.
The previous prime is 10130309927. The next prime is 10130310023. The reversal of 10130310016 is 61001303101.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845121 + ... + 857023.
It is an arithmetic number, because the mean of its divisors is an integer number (323472600).
Almost surely, 210130310016 is an apocalyptic number.
10130310016 is a gapful number since it is divisible by the number (16) 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 10130310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351123200).
10130310016 is an abundant number, since it is smaller than the sum of its proper divisors (10571936384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10130310016 is a wasteful number, since it uses less digits than its factorization.
10130310016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12087 (or 12075 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
Adding to 10130310016 its reverse (61001303101), we get a palindrome (71131613117).
The spelling of 10130310016 in words is "ten billion, one hundred thirty million, three hundred ten thousand, sixteen".
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