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122344181117 is a prime number
BaseRepresentation
bin111000111110001001…
…0000000110101111101
3102200210101011100110022
41301330102000311331
54001030102243432
6132112032221525
711560542244454
oct1617422006575
9380711140408
10122344181117
1147982112094
121b86499a8a5
13b6c9a5b1a2
145cc87d5b9b
1532b0ba2b12
hex1c7c480d7d

122344181117 has 2 divisors, whose sum is σ = 122344181118. Its totient is φ = 122344181116.

The previous prime is 122344181077. The next prime is 122344181123. The reversal of 122344181117 is 711181443221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66237257956 + 56106923161 = 257366^2 + 236869^2 .

It is a cyclic number.

It is not a de Polignac number, because 122344181117 - 210 = 122344180093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122344181147) 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, 61172090558 + 61172090559.

It is an arithmetic number, because the mean of its divisors is an integer number (61172090559).

Almost surely, 2122344181117 is an apocalyptic number.

It is an amenable number.

122344181117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122344181117 is an equidigital number, since it uses as much as digits as its factorization.

122344181117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10752, while the sum is 35.

The spelling of 122344181117 in words is "one hundred twenty-two billion, three hundred forty-four million, one hundred eighty-one thousand, one hundred seventeen".