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123311222113 is a prime number
BaseRepresentation
bin111001011010111101…
…0111110110101100001
3102210021202211010022111
41302311322332311201
54010020133101423
6132352015235321
711623524044122
oct1626572766541
9383252733274
10123311222113
1148328a74322
121ba94818b41
13b8221c85b1
145d7b004049
15331aa2360d
hex1cb5ebed61

123311222113 has 2 divisors, whose sum is σ = 123311222114. Its totient is φ = 123311222112.

The previous prime is 123311222039. The next prime is 123311222119. The reversal of 123311222113 is 311222113321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62436516129 + 60874705984 = 249873^2 + 246728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123311222113 is a prime.

It is not a weakly prime, because it can be changed into another prime (123311222119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61655611056 + 61655611057.

It is an arithmetic number, because the mean of its divisors is an integer number (61655611057).

Almost surely, 2123311222113 is an apocalyptic number.

It is an amenable number.

123311222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123311222113 is an equidigital number, since it uses as much as digits as its factorization.

123311222113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

Adding to 123311222113 its reverse (311222113321), we get a palindrome (434533335434).

The spelling of 123311222113 in words is "one hundred twenty-three billion, three hundred eleven million, two hundred twenty-two thousand, one hundred thirteen".