Base | Representation |
---|---|
bin | 10010101010110111… |
… | …11011111010001000 |
3 | 221212112122110211102 |
4 | 21111123323322020 |
5 | 131011432234344 |
6 | 4334334320532 |
7 | 503246552600 |
oct | 112533737210 |
9 | 27775573742 |
10 | 10023321224 |
11 | 42839a3654 |
12 | 1b38959148 |
13 | c39794507 |
14 | 6b12b3c00 |
15 | 3d9e67e4e |
hex | 2556fbe88 |
10023321224 has 24 divisors (see below), whose sum is σ = 21862091790. Its totient is φ = 4295708928.
The previous prime is 10023321223. The next prime is 10023321239. The reversal of 10023321224 is 42212332001.
It can be written as a sum of positive squares in only one way, i.e., 5172198724 + 4851122500 = 71918^2 + 69650^2 .
It is a junction number, because it is equal to n+sod(n) for n = 10023321196 and 10023321205.
It is not an unprimeable number, because it can be changed into a prime (10023321221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12784457 + ... + 12785240.
Almost surely, 210023321224 is an apocalyptic number.
10023321224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
10023321224 is an abundant number, since it is smaller than the sum of its proper divisors (11838770566).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023321224 is a wasteful number, since it uses less digits than its factorization.
10023321224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25569717 (or 25569706 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 10023321224 its reverse (42212332001), we get a palindrome (52235653225).
The spelling of 10023321224 in words is "ten billion, twenty-three million, three hundred twenty-one thousand, two hundred twenty-four".
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