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202212122309 is a prime number
BaseRepresentation
bin1011110001010011001…
…0000001111011000101
3201022221111210010211022
42330110302001323011
511303112300403214
6232521151320525
720416001452121
oct2742462017305
9638844703738
10202212122309
117883752045a
1233234520145
13160b77063a2
149b03bd6581
1553d7787d8e
hex2f14c81ec5

202212122309 has 2 divisors, whose sum is σ = 202212122310. Its totient is φ = 202212122308.

The previous prime is 202212122279. The next prime is 202212122311. The reversal of 202212122309 is 903221212202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182198361409 + 20013760900 = 426847^2 + 141470^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212122309 - 228 = 201943686853 is a prime.

It is a Sophie Germain prime.

Together with 202212122311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202212122369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101106061154 + 101106061155.

It is an arithmetic number, because the mean of its divisors is an integer number (101106061155).

Almost surely, 2202212122309 is an apocalyptic number.

It is an amenable number.

202212122309 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212122309 is an equidigital number, since it uses as much as digits as its factorization.

202212122309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 202212122309 in words is "two hundred two billion, two hundred twelve million, one hundred twenty-two thousand, three hundred nine".