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122131132241 is a prime number
BaseRepresentation
bin111000110111110010…
…1010010111101010001
3102200020112021100100012
41301233211102331101
54000111032212431
6132034542004305
711552344331636
oct1615745227521
9380215240305
10122131132241
1147882927338
121b805576695
13b694885671
145ca83b818d
15329c11c22b
hex1c6f952f51

122131132241 has 2 divisors, whose sum is σ = 122131132242. Its totient is φ = 122131132240.

The previous prime is 122131132219. The next prime is 122131132261. The reversal of 122131132241 is 142231131221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117714865216 + 4416267025 = 343096^2 + 66455^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131132241 - 210 = 122131131217 is a prime.

It is not a weakly prime, because it can be changed into another prime (122131132261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065566120 + 61065566121.

It is an arithmetic number, because the mean of its divisors is an integer number (61065566121).

Almost surely, 2122131132241 is an apocalyptic number.

It is an amenable number.

122131132241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131132241 is an equidigital number, since it uses as much as digits as its factorization.

122131132241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

Adding to 122131132241 its reverse (142231131221), we get a palindrome (264362263462).

The spelling of 122131132241 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred forty-one".