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123112431413 is a prime number
BaseRepresentation
bin111001010101000010…
…0101001111100110101
3102202202220202111201222
41302222010221330311
54004113240301123
6132320154400125
711615561254316
oct1625204517465
9382686674658
10123112431413
1148236837994
121ba3a130045
13b7bcc7586a
145d5c85860d
1533083576c8
hex1caa129f35

123112431413 has 2 divisors, whose sum is σ = 123112431414. Its totient is φ = 123112431412.

The previous prime is 123112431401. The next prime is 123112431419. The reversal of 123112431413 is 314134211321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73874152804 + 49238278609 = 271798^2 + 221897^2 .

It is a cyclic number.

It is not a de Polignac number, because 123112431413 - 26 = 123112431349 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123112431419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556215706 + 61556215707.

It is an arithmetic number, because the mean of its divisors is an integer number (61556215707).

Almost surely, 2123112431413 is an apocalyptic number.

It is an amenable number.

123112431413 is a deficient number, since it is larger than the sum of its proper divisors (1).

123112431413 is an equidigital number, since it uses as much as digits as its factorization.

123112431413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

Adding to 123112431413 its reverse (314134211321), we get a palindrome (437246642734).

The spelling of 123112431413 in words is "one hundred twenty-three billion, one hundred twelve million, four hundred thirty-one thousand, four hundred thirteen".