Search a number
-
+
122207255617 is a prime number
BaseRepresentation
bin111000111010000011…
…1101011110001000001
3102200102211111210222111
41301310013223301001
54000240024134432
6132050301335321
711554260350656
oct1616407536101
9380384453874
10122207255617
114791189aa17
121b826b67541
13b6a7589395
145cb4551c2d
1532a3b57347
hex1c741ebc41

122207255617 has 2 divisors, whose sum is σ = 122207255618. Its totient is φ = 122207255616.

The previous prime is 122207255609. The next prime is 122207255627. The reversal of 122207255617 is 716552702221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115104811441 + 7102444176 = 339271^2 + 84276^2 .

It is a cyclic number.

It is not a de Polignac number, because 122207255617 - 23 = 122207255609 is a prime.

It is a super-2 number, since 2×1222072556172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122207255617.

It is not a weakly prime, because it can be changed into another prime (122207255627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61103627808 + 61103627809.

It is an arithmetic number, because the mean of its divisors is an integer number (61103627809).

Almost surely, 2122207255617 is an apocalyptic number.

It is an amenable number.

122207255617 is a deficient number, since it is larger than the sum of its proper divisors (1).

122207255617 is an equidigital number, since it uses as much as digits as its factorization.

122207255617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 117600, while the sum is 40.

Adding to 122207255617 its reverse (716552702221), we get a palindrome (838759957838).

The spelling of 122207255617 in words is "one hundred twenty-two billion, two hundred seven million, two hundred fifty-five thousand, six hundred seventeen".