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122210003009 is a prime number
BaseRepresentation
bin111000111010001001…
…0001010100001000001
3102200110000200101200202
41301310102022201001
54000241230044014
6132050440254545
711554322612603
oct1616422124101
9380400611622
10122210003009
11479133a7096
121b827a71455
13b6a800ba63
145cb4a69173
1532a3eeb3de
hex1c7448a841

122210003009 has 2 divisors, whose sum is σ = 122210003010. Its totient is φ = 122210003008.

The previous prime is 122210002987. The next prime is 122210003011. The reversal of 122210003009 is 900300012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62073231025 + 60136771984 = 249145^2 + 245228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122210003009 is a prime.

Together with 122210003011, 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 (122210003029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105001504 + 61105001505.

It is an arithmetic number, because the mean of its divisors is an integer number (61105001505).

Almost surely, 2122210003009 is an apocalyptic number.

It is an amenable number.

122210003009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210003009 is an equidigital number, since it uses as much as digits as its factorization.

122210003009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 122210003009 in words is "one hundred twenty-two billion, two hundred ten million, three thousand, nine".