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122338227133 is a prime number
BaseRepresentation
bin111000111101111101…
…1010011001110111101
3102200202221221212010101
41301323323103032331
54001022041232013
6132111300441101
711560440526063
oct1617373231675
9380687855111
10122338227133
1147979815841
121b8629a9191
13b6c8755115
145cc7ac6033
1532b03c88dd
hex1c7bed33bd

122338227133 has 2 divisors, whose sum is σ = 122338227134. Its totient is φ = 122338227132.

The previous prime is 122338227101. The next prime is 122338227169. The reversal of 122338227133 is 331722833221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121085208729 + 1253018404 = 347973^2 + 35398^2 .

It is a cyclic number.

It is not a de Polignac number, because 122338227133 - 25 = 122338227101 is a prime.

It is a super-3 number, since 3×1223382271333 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122338227092 and 122338227101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122318227133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61169113566 + 61169113567.

It is an arithmetic number, because the mean of its divisors is an integer number (61169113567).

Almost surely, 2122338227133 is an apocalyptic number.

It is an amenable number.

122338227133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122338227133 is an equidigital number, since it uses as much as digits as its factorization.

122338227133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 37.

The spelling of 122338227133 in words is "one hundred twenty-two billion, three hundred thirty-eight million, two hundred twenty-seven thousand, one hundred thirty-three".