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10020240221 is a prime number
BaseRepresentation
bin10010101010100000…
…01011101101011101
3221212022211221111012
421111100023231131
5131010140141341
64334144305005
7503211431225
oct112520135535
927768757435
1010020240221
114282189872
121b37912165
13c38c56034
146b0b11085
153d9a5a0eb
hex25540bb5d

10020240221 has 2 divisors, whose sum is σ = 10020240222. Its totient is φ = 10020240220.

The previous prime is 10020240187. The next prime is 10020240227. The reversal of 10020240221 is 12204202001.

10020240221 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., 9291996025 + 728244196 = 96395^2 + 26986^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020240221 - 218 = 10019978077 is a prime.

It is a super-2 number, since 2×100202402212 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10020240196 and 10020240205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020240227) 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, 5010120110 + 5010120111.

It is an arithmetic number, because the mean of its divisors is an integer number (5010120111).

Almost surely, 210020240221 is an apocalyptic number.

It is an amenable number.

10020240221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020240221 is an equidigital number, since it uses as much as digits as its factorization.

10020240221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10020240221 its reverse (12204202001), we get a palindrome (22224442222).

The spelling of 10020240221 in words is "ten billion, twenty million, two hundred forty thousand, two hundred twenty-one".