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123313302001157 is a prime number
BaseRepresentation
bin11100000010011100011101…
…100011111101011000000101
3121011121122012001001000022012
4130002130131203331120011
5112130331120303014112
61114133203205344005
734655043402414242
oct3402343543753005
9534548161030265
10123313302001157
1136322972232574
12119b6b3b408005
1353a65188a8a78
1422645779a85c9
15e3c9de262022
hex70271d8fd605

123313302001157 has 2 divisors, whose sum is σ = 123313302001158. Its totient is φ = 123313302001156.

The previous prime is 123313302001121. The next prime is 123313302001171. The reversal of 123313302001157 is 751100203313321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106723899687076 + 16589402314081 = 10330726^2 + 4073009^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313302001157 - 28 = 123313302000901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123313302001457) 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, 61656651000578 + 61656651000579.

It is an arithmetic number, because the mean of its divisors is an integer number (61656651000579).

Almost surely, 2123313302001157 is an apocalyptic number.

It is an amenable number.

123313302001157 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313302001157 is an equidigital number, since it uses as much as digits as its factorization.

123313302001157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

Adding to 123313302001157 its reverse (751100203313321), we get a palindrome (874413505314478).

The spelling of 123313302001157 in words is "one hundred twenty-three trillion, three hundred thirteen billion, three hundred two million, one thousand, one hundred fifty-seven".