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122222100229 is a prime number
BaseRepresentation
bin111000111010100000…
…0010011111100000101
3102200110212102222221221
41301311000103330011
54000302324201404
6132051551440341
711554530465505
oct1616500237405
9380425388857
10122222100229
114791a209999
121b82bb260b1
13b6aa686088
145cb64d7a05
1532a50da954
hex1c75013f05

122222100229 has 2 divisors, whose sum is σ = 122222100230. Its totient is φ = 122222100228.

The previous prime is 122222100197. The next prime is 122222100271. The reversal of 122222100229 is 922001222221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74530092004 + 47692008225 = 273002^2 + 218385^2 .

It is a cyclic number.

It is not a de Polignac number, because 122222100229 - 25 = 122222100197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122220100229) 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, 61111050114 + 61111050115.

It is an arithmetic number, because the mean of its divisors is an integer number (61111050115).

Almost surely, 2122222100229 is an apocalyptic number.

It is an amenable number.

122222100229 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222100229 is an equidigital number, since it uses as much as digits as its factorization.

122222100229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 122222100229 in words is "one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-nine".