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123112143011413 is a prime number
BaseRepresentation
bin11011111111100001000111…
…100011010011111001010101
3121010220101221220220112202201
4123333201013203103321111
5112114032132102331123
61113500534314204501
734634362446255343
oct3377410743237125
9533811856815681
10123112143011413
1136255626226206
1211983b5b723731
13539056b423a5a
1422589339d0993
15e376691a35ad
hex6ff8478d3e55

123112143011413 has 2 divisors, whose sum is σ = 123112143011414. Its totient is φ = 123112143011412.

The previous prime is 123112143011369. The next prime is 123112143011423. The reversal of 123112143011413 is 314110341211321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74999635614289 + 48112507397124 = 8660233^2 + 6936318^2 .

It is an emirp because it is prime and its reverse (314110341211321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123112143011413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123112143011423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556071505706 + 61556071505707.

It is an arithmetic number, because the mean of its divisors is an integer number (61556071505707).

Almost surely, 2123112143011413 is an apocalyptic number.

It is an amenable number.

123112143011413 is a deficient number, since it is larger than the sum of its proper divisors (1).

123112143011413 is an equidigital number, since it uses as much as digits as its factorization.

123112143011413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 123112143011413 its reverse (314110341211321), we get a palindrome (437222484222734).

The spelling of 123112143011413 in words is "one hundred twenty-three trillion, one hundred twelve billion, one hundred forty-three million, eleven thousand, four hundred thirteen".