Base | Representation |
---|---|
bin | 10010101010011110… |
… | …11000111000010101 |
3 | 221212022110100220002 |
4 | 21111033120320111 |
5 | 131010112011041 |
6 | 4334140021045 |
7 | 503206603226 |
oct | 112517307025 |
9 | 27768410802 |
10 | 10020032021 |
11 | 42820573aa |
12 | 1b37831785 |
13 | c38bb233c |
14 | 6b0a9924d |
15 | 3d9a1859b |
hex | 2553d8e15 |
10020032021 has 2 divisors, whose sum is σ = 10020032022. Its totient is φ = 10020032020.
The previous prime is 10020031969. The next prime is 10020032023. The reversal of 10020032021 is 12023002001.
It is a happy number.
10020032021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 5370837796 + 4649194225 = 73286^2 + 68185^2 .
It is a cyclic number.
It is not a de Polignac number, because 10020032021 - 210 = 10020030997 is a prime.
Together with 10020032023, it forms a pair of twin primes.
It is a Chen prime.
It is a junction number, because it is equal to n+sod(n) for n = 10020031993 and 10020032011.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (10020032023) 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 as a sum of consecutive naturals, namely, 5010016010 + 5010016011.
It is an arithmetic number, because the mean of its divisors is an integer number (5010016011).
Almost surely, 210020032021 is an apocalyptic number.
It is an amenable number.
10020032021 is a deficient number, since it is larger than the sum of its proper divisors (1).
10020032021 is an equidigital number, since it uses as much as digits as its factorization.
10020032021 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 24, while the sum is 11.
Adding to 10020032021 its reverse (12023002001), we get a palindrome (22043034022).
The spelling of 10020032021 in words is "ten billion, twenty million, thirty-two thousand, twenty-one".
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