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123413136157 is a prime number
BaseRepresentation
bin111001011101111111…
…1110000001100011101
3102210112212120220002201
41302323333300030131
54010222230324112
6132410055451501
711626202230453
oct1627377601435
9383485526081
10123413136157
1148380552903
121bb02986b91
13b83a35c36c
145d8a7729d3
153324955257
hex1cbbff031d

123413136157 has 2 divisors, whose sum is σ = 123413136158. Its totient is φ = 123413136156.

The previous prime is 123413136137. The next prime is 123413136193. The reversal of 123413136157 is 751631314321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122429310201 + 983825956 = 349899^2 + 31366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123413136157 is a prime.

It is a super-2 number, since 2×1234131361572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123413136137) 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, 61706568078 + 61706568079.

It is an arithmetic number, because the mean of its divisors is an integer number (61706568079).

Almost surely, 2123413136157 is an apocalyptic number.

It is an amenable number.

123413136157 is a deficient number, since it is larger than the sum of its proper divisors (1).

123413136157 is an equidigital number, since it uses as much as digits as its factorization.

123413136157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 37.

The spelling of 123413136157 in words is "one hundred twenty-three billion, four hundred thirteen million, one hundred thirty-six thousand, one hundred fifty-seven".