Search a number
-
+
123210222000113 is a prime number
BaseRepresentation
bin11100000000111100011101…
…100000111101011111110001
3121011020210010012211101220202
4130000330131200331133301
5112122134013313000423
61114013554455244545
734644434106023663
oct3400743540753761
9534223105741822
10123210222000113
1136293186265066
121199ab72079755
13539989bc54101
14225d599878533
15e39ea992e728
hex700f1d83d7f1

123210222000113 has 2 divisors, whose sum is σ = 123210222000114. Its totient is φ = 123210222000112.

The previous prime is 123210222000083. The next prime is 123210222000121. The reversal of 123210222000113 is 311000222012321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109253669192704 + 13956552807409 = 10452448^2 + 3735847^2 .

It is a cyclic number.

It is not a de Polignac number, because 123210222000113 - 26 = 123210222000049 is a prime.

It is not a weakly prime, because it can be changed into another prime (123210222000143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61605111000056 + 61605111000057.

It is an arithmetic number, because the mean of its divisors is an integer number (61605111000057).

Almost surely, 2123210222000113 is an apocalyptic number.

It is an amenable number.

123210222000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123210222000113 is an equidigital number, since it uses as much as digits as its factorization.

123210222000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123210222000113 its reverse (311000222012321), we get a palindrome (434210444012434).

The spelling of 123210222000113 in words is "one hundred twenty-three trillion, two hundred ten billion, two hundred twenty-two million, one hundred thirteen", and thus it is an aban number.