Search a number
-
+
122232303232217 is a prime number
BaseRepresentation
bin11011110010101101101101…
…000000111010010011011001
3121000210021221101010210101222
4123302231231000322103121
5112010123224111412332
61111544424522221425
734513664264450633
oct3362555500722331
9530707841123358
10122232303232217
1135a46479648722
1211861533054875
1353285c25ac6a9
142228109cb9a53
15e1e8219e0712
hex6f2b6d03a4d9

122232303232217 has 2 divisors, whose sum is σ = 122232303232218. Its totient is φ = 122232303232216.

The previous prime is 122232303232121. The next prime is 122232303232223. The reversal of 122232303232217 is 712232303232221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98191531178896 + 24040772053321 = 9909164^2 + 4903139^2 .

It is a cyclic number.

It is not a de Polignac number, because 122232303232217 - 214 = 122232303215833 is a prime.

It is not a weakly prime, because it can be changed into another prime (122232303232817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116151616108 + 61116151616109.

It is an arithmetic number, because the mean of its divisors is an integer number (61116151616109).

Almost surely, 2122232303232217 is an apocalyptic number.

It is an amenable number.

122232303232217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232303232217 is an equidigital number, since it uses as much as digits as its factorization.

122232303232217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 35.

Adding to 122232303232217 its reverse (712232303232221), we get a palindrome (834464606464438).

The spelling of 122232303232217 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, three hundred three million, two hundred thirty-two thousand, two hundred seventeen".