Base | Representation |
---|---|
bin | 10010101010110101… |
… | …01111111011101111 |
3 | 221212112001122221202 |
4 | 21111122233323233 |
5 | 131011342310111 |
6 | 4334323520115 |
7 | 503244115406 |
oct | 112532577357 |
9 | 27775048852 |
10 | 10023010031 |
11 | 4283800871 |
12 | 1b3882903b |
13 | c396b5988 |
14 | 6b123263d |
15 | 3d9e05b3b |
hex | 2556afeef |
10023010031 has 16 divisors (see below), whose sum is σ = 10519401984. Its totient is φ = 9540781344.
The previous prime is 10023010027. The next prime is 10023010079. The reversal of 10023010031 is 13001032001.
It is a cyclic number.
It is not a de Polignac number, because 10023010031 - 22 = 10023010027 is a prime.
It is a super-2 number, since 2×100230100312 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 10023009994 and 10023010021.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023010091) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 300470 + ... + 332156.
It is an arithmetic number, because the mean of its divisors is an integer number (657462624).
Almost surely, 210023010031 is an apocalyptic number.
10023010031 is a deficient number, since it is larger than the sum of its proper divisors (496391953).
10023010031 is a wasteful number, since it uses less digits than its factorization.
10023010031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31910.
The product of its (nonzero) digits is 18, while the sum is 11.
Adding to 10023010031 its reverse (13001032001), we get a palindrome (23024042032).
The spelling of 10023010031 in words is "ten billion, twenty-three million, ten thousand, thirty-one".
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