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122211211009 is a prime number
BaseRepresentation
bin111000111010001011…
…0110001011100000001
3102200110002221202202111
41301310112301130001
54000242032223014
6132050522215321
711554336103506
oct1616426613401
9380402852674
10122211211009
1147914051738
121b828354541
13b6a8342854
145cb4ca14ad
1532a41892c4
hex1c745b1701

122211211009 has 2 divisors, whose sum is σ = 122211211010. Its totient is φ = 122211211008.

The previous prime is 122211210977. The next prime is 122211211013. The reversal of 122211211009 is 900112112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78206919025 + 44004291984 = 279655^2 + 209772^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211211009 - 25 = 122211210977 is a prime.

It is not a weakly prime, because it can be changed into another prime (122211211069) 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, 61105605504 + 61105605505.

It is an arithmetic number, because the mean of its divisors is an integer number (61105605505).

Almost surely, 2122211211009 is an apocalyptic number.

It is an amenable number.

122211211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211211009 is an equidigital number, since it uses as much as digits as its factorization.

122211211009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 122211211009 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred eleven thousand, nine".