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122220221093 is a prime number
BaseRepresentation
bin111000111010011100…
…1001001001010100101
3102200110201220112021022
41301310321021022211
54000301334033333
6132051443300525
711554505511125
oct1616471111245
9380421815238
10122220221093
1147919146093
121b82b37a745
13b6aa178969
145cb6168c85
1532a4d68c98
hex1c74e492a5

122220221093 has 2 divisors, whose sum is σ = 122220221094. Its totient is φ = 122220221092.

The previous prime is 122220221033. The next prime is 122220221131. The reversal of 122220221093 is 390122022221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101581163524 + 20639057569 = 318718^2 + 143663^2 .

It is a cyclic number.

It is not a de Polignac number, because 122220221093 - 210 = 122220220069 is a prime.

It is a super-2 number, since 2×1222202210932 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122220221033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110110546 + 61110110547.

It is an arithmetic number, because the mean of its divisors is an integer number (61110110547).

Almost surely, 2122220221093 is an apocalyptic number.

It is an amenable number.

122220221093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220221093 is an equidigital number, since it uses as much as digits as its factorization.

122220221093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 122220221093 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred twenty-one thousand, ninety-three".