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122211230357 is a prime number
BaseRepresentation
bin111000111010001011…
…0110110001010010101
3102200110002222202022002
41301310112312022111
54000242033332412
6132050522445045
711554336214066
oct1616426661225
9380402882262
10122211230357
1147914065227
121b828363785
13b6a834b5b8
145cb4ca856d
1532a418edc2
hex1c745b6295

122211230357 has 2 divisors, whose sum is σ = 122211230358. Its totient is φ = 122211230356.

The previous prime is 122211230279. The next prime is 122211230359. The reversal of 122211230357 is 753032112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82303576996 + 39907653361 = 286886^2 + 199769^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211230357 - 218 = 122210968213 is a prime.

Together with 122211230359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122211230359) 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, 61105615178 + 61105615179.

It is an arithmetic number, because the mean of its divisors is an integer number (61105615179).

Almost surely, 2122211230357 is an apocalyptic number.

It is an amenable number.

122211230357 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211230357 is an equidigital number, since it uses as much as digits as its factorization.

122211230357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 122211230357 its reverse (753032112221), we get a palindrome (875243342578).

The spelling of 122211230357 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred thirty thousand, three hundred fifty-seven".