Search a number
-
+
122311022131301 is a prime number
BaseRepresentation
bin11011110011110111000001…
…000001101011100001100101
3121001001211010102122012022212
4123303313001001223201211
5112012420433131200201
61112044524033333205
734522452102164303
oct3363670101534145
9531054112565285
10122311022131301
1135a768a4395713
1211874841a07205
135332b59195813
14222bc56853273
15e218cc7a3abb
hex6f3dc106b865

122311022131301 has 2 divisors, whose sum is σ = 122311022131302. Its totient is φ = 122311022131300.

The previous prime is 122311022131283. The next prime is 122311022131387. The reversal of 122311022131301 is 103131220113221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79952389392100 + 42358632739201 = 8941610^2 + 6508351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122311022131301 is a prime.

It is a super-2 number, since 2×1223110221313012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122311022131601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155511065650 + 61155511065651.

It is an arithmetic number, because the mean of its divisors is an integer number (61155511065651).

Almost surely, 2122311022131301 is an apocalyptic number.

It is an amenable number.

122311022131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311022131301 is an equidigital number, since it uses as much as digits as its factorization.

122311022131301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 122311022131301 its reverse (103131220113221), we get a palindrome (225442242244522).

The spelling of 122311022131301 in words is "one hundred twenty-two trillion, three hundred eleven billion, twenty-two million, one hundred thirty-one thousand, three hundred one".