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202221200009 is a prime number
BaseRepresentation
bin1011110001010101010…
…0101010001010001001
3201022222010212100002102
42330111110222022021
511303122111400014
6232522114043145
720416141560533
oct2742524521211
9638863770072
10202221200009
1178841660694
12332375794b5
13160b95641ca
149b050ba853
1553d847c8de
hex2f1552a289

202221200009 has 2 divisors, whose sum is σ = 202221200010. Its totient is φ = 202221200008.

The previous prime is 202221199907. The next prime is 202221200011. The reversal of 202221200009 is 900002122202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197894191609 + 4327008400 = 444853^2 + 65780^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221200009 - 28 = 202221199753 is a prime.

Together with 202221200011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (202221200059) 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, 101110600004 + 101110600005.

It is an arithmetic number, because the mean of its divisors is an integer number (101110600005).

Almost surely, 2202221200009 is an apocalyptic number.

It is an amenable number.

202221200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221200009 is an equidigital number, since it uses as much as digits as its factorization.

202221200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 202221200009 in words is "two hundred two billion, two hundred twenty-one million, two hundred thousand, nine".