Base | Representation |
---|---|
bin | 10010101010110101… |
… | …10000111110110000 |
3 | 221212112001212211121 |
4 | 21111122300332300 |
5 | 131011342424240 |
6 | 4334323552024 |
7 | 503244134044 |
oct | 112532607660 |
9 | 27775055747 |
10 | 10023014320 |
11 | 4283804010 |
12 | 1b3882b614 |
13 | c396b7907 |
14 | 6b1234024 |
15 | 3d9e0704a |
hex | 2556b0fb0 |
10023014320 has 80 divisors (see below), whose sum is σ = 25509429792. Its totient is φ = 3632199680.
The previous prime is 10023014303. The next prime is 10023014329. The reversal of 10023014320 is 2341032001.
It is a happy number.
10023014320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 10023014294 and 10023014303.
It is not an unprimeable number, because it can be changed into a prime (10023014329) 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 15 ways as a sum of consecutive naturals, for example, 238404 + ... + 277276.
Almost surely, 210023014320 is an apocalyptic number.
10023014320 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 10023014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754714896).
10023014320 is an abundant number, since it is smaller than the sum of its proper divisors (15486415472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023014320 is a wasteful number, since it uses less digits than its factorization.
10023014320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39190 (or 39184 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 10023014320 its reverse (2341032001), we get a palindrome (12364046321).
The spelling of 10023014320 in words is "ten billion, twenty-three million, fourteen thousand, three hundred twenty".
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