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2222222122009 is a prime number
BaseRepresentation
bin100000010101100110110…
…000101001110000011001
321212102221110222022001101
4200111212300221300121
5242402102330401014
64420512540151401
7316356510242551
oct40254660516031
97772843868041
102222222122009
1178749150017a
122ba821838561
13131729736a66
14797b0012161
153cc12309474
hex20566c29c19

2222222122009 has 2 divisors, whose sum is σ = 2222222122010. Its totient is φ = 2222222122008.

The previous prime is 2222222121991. The next prime is 2222222122039. The reversal of 2222222122009 is 9002212222222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1668346806025 + 553875315984 = 1291645^2 + 744228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2222222122009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222222122039) 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, 1111111061004 + 1111111061005.

It is an arithmetic number, because the mean of its divisors is an integer number (1111111061005).

Almost surely, 22222222122009 is an apocalyptic number.

It is an amenable number.

2222222122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222222122009 is an equidigital number, since it uses as much as digits as its factorization.

2222222122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 2222222122009 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, nine".