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122220211301 is a prime number
BaseRepresentation
bin111000111010011100…
…1000110110001100101
3102200110201220000211122
41301310321012301211
54000301333230201
6132051443143325
711554505440436
oct1616471066145
9380421800748
10122220211301
11479191397a1
121b82b374b45
13b6aa174376
145cb616548d
1532a4d65e1b
hex1c74e46c65

122220211301 has 2 divisors, whose sum is σ = 122220211302. Its totient is φ = 122220211300.

The previous prime is 122220211297. The next prime is 122220211303. The reversal of 122220211301 is 103112022221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92310238276 + 29909973025 = 303826^2 + 172945^2 .

It is a cyclic number.

It is not a de Polignac number, because 122220211301 - 22 = 122220211297 is a prime.

It is a super-2 number, since 2×1222202113012 (a number of 23 digits) contains 22 as substring.

Together with 122220211303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122220211301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122220211303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110105650 + 61110105651.

It is an arithmetic number, because the mean of its divisors is an integer number (61110105651).

Almost surely, 2122220211301 is an apocalyptic number.

It is an amenable number.

122220211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220211301 is an equidigital number, since it uses as much as digits as its factorization.

122220211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122220211301 its reverse (103112022221), we get a palindrome (225332233522).

The spelling of 122220211301 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, three hundred one".