Search a number
-
+
123222122369 is a prime number
BaseRepresentation
bin111001011000010011…
…1000101111110000001
3102210001120011101102222
41302300213011332001
54004324330403434
6132335113420425
711621362521113
oct1626047057601
9383046141388
10123222122369
1148292748375
121ba6aa0a715
13b809900358
145d6d24d3b3
153312cc372e
hex1cb09c5f81

123222122369 has 2 divisors, whose sum is σ = 123222122370. Its totient is φ = 123222122368.

The previous prime is 123222122323. The next prime is 123222122377. The reversal of 123222122369 is 963221222321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113595961600 + 9626160769 = 337040^2 + 98113^2 .

It is an emirp because it is prime and its reverse (963221222321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123222122369 - 216 = 123222056833 is a prime.

It is a super-2 number, since 2×1232221223692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123222122389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61611061184 + 61611061185.

It is an arithmetic number, because the mean of its divisors is an integer number (61611061185).

Almost surely, 2123222122369 is an apocalyptic number.

It is an amenable number.

123222122369 is a deficient number, since it is larger than the sum of its proper divisors (1).

123222122369 is an equidigital number, since it uses as much as digits as its factorization.

123222122369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 35.

The spelling of 123222122369 in words is "one hundred twenty-three billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred sixty-nine".