Base | Representation |
---|---|
bin | 10010101010101110… |
… | …10001110000110101 |
3 | 221212110100102122200 |
4 | 21111113101300311 |
5 | 131011124200041 |
6 | 4334252215113 |
7 | 503233305333 |
oct | 112527216065 |
9 | 27773312580 |
10 | 10022100021 |
11 | 428323a09a |
12 | 1b3846a499 |
13 | c394576cb |
14 | 6b1076b53 |
15 | 3d9cc61b6 |
hex | 2555d1c35 |
10022100021 has 12 divisors (see below), whose sum is σ = 14580515040. Its totient is φ = 6633331560.
The previous prime is 10022100007. The next prime is 10022100059. The reversal of 10022100021 is 12000122001.
10022100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10022100021 - 210 = 10022098997 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10022099976 and 10022100012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022100071) 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 11 ways as a sum of consecutive naturals, for example, 4004385 + ... + 4006886.
It is an arithmetic number, because the mean of its divisors is an integer number (1215042920).
Almost surely, 210022100021 is an apocalyptic number.
It is an amenable number.
10022100021 is a deficient number, since it is larger than the sum of its proper divisors (4558415019).
10022100021 is a wasteful number, since it uses less digits than its factorization.
10022100021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8011416 (or 8011413 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10022100021 its reverse (12000122001), we get a palindrome (22022222022).
The spelling of 10022100021 in words is "ten billion, twenty-two million, one hundred thousand, twenty-one".
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