Search a number
-
+
122131867433 is a prime number
BaseRepresentation
bin111000110111110100…
…0000110011100101001
3102200020120122200211112
41301233220012130221
54000111224224213
6132035005440105
711552353513232
oct1615750063451
9380216580745
10122131867433
1147883289734
121b805870035
13b694a821a4
145ca852a089
15329c214ea8
hex1c6fa06729

122131867433 has 2 divisors, whose sum is σ = 122131867434. Its totient is φ = 122131867432.

The previous prime is 122131867391. The next prime is 122131867447. The reversal of 122131867433 is 334768131221.

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., 85967999209 + 36163868224 = 293203^2 + 190168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122131867433 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122131867463) 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, 61065933716 + 61065933717.

It is an arithmetic number, because the mean of its divisors is an integer number (61065933717).

Almost surely, 2122131867433 is an apocalyptic number.

It is an amenable number.

122131867433 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131867433 is an equidigital number, since it uses as much as digits as its factorization.

122131867433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 41.

Adding to 122131867433 its reverse (334768131221), we get a palindrome (456899998654).

The spelling of 122131867433 in words is "one hundred twenty-two billion, one hundred thirty-one million, eight hundred sixty-seven thousand, four hundred thirty-three".