Base | Representation |
---|---|
bin | 10010101010011110… |
… | …11001001000000000 |
3 | 221212022110102021020 |
4 | 21111033121020000 |
5 | 131010112024044 |
6 | 4334140025440 |
7 | 503206606161 |
oct | 112517311000 |
9 | 27768412236 |
10 | 10020033024 |
11 | 4282058131 |
12 | 1b37832280 |
13 | c38bb2931 |
14 | 6b0a99768 |
15 | 3d9a18a19 |
hex | 2553d9200 |
10020033024 has 80 divisors (see below), whose sum is σ = 27262147968. Its totient is φ = 3268923392.
The previous prime is 10020033017. The next prime is 10020033041. The reversal of 10020033024 is 42033002001.
It is a junction number, because it is equal to n+sod(n) for n = 10020032994 and 10020033012.
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, 2794 + ... + 141590.
Almost surely, 210020033024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10020033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631073984).
10020033024 is an abundant number, since it is smaller than the sum of its proper divisors (17242114944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020033024 is an equidigital number, since it uses as much as digits as its factorization.
10020033024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138865 (or 138849 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 10020033024 its reverse (42033002001), we get a palindrome (52053035025).
The spelling of 10020033024 in words is "ten billion, twenty million, thirty-three thousand, twenty-four".
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