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123113311273 is a prime number
BaseRepresentation
bin111001010101000100…
…0000000110000101001
3102202202222102012200101
41302222020000300221
54004114001430043
6132320225305401
711615601610441
oct1625210006051
9382688365611
10123113311273
1148237288a47
121ba3a495261
13b7c01c31a4
145d5ca07121
15330847d24d
hex1caa200c29

123113311273 has 2 divisors, whose sum is σ = 123113311274. Its totient is φ = 123113311272.

The previous prime is 123113311271. The next prime is 123113311283. The reversal of 123113311273 is 372113311321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113705863209 + 9407448064 = 337203^2 + 96992^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113311273 - 21 = 123113311271 is a prime.

Together with 123113311271, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (123113311271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556655636 + 61556655637.

It is an arithmetic number, because the mean of its divisors is an integer number (61556655637).

Almost surely, 2123113311273 is an apocalyptic number.

It is an amenable number.

123113311273 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113311273 is an equidigital number, since it uses as much as digits as its factorization.

123113311273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 28.

Adding to 123113311273 its reverse (372113311321), we get a palindrome (495226622594).

The spelling of 123113311273 in words is "one hundred twenty-three billion, one hundred thirteen million, three hundred eleven thousand, two hundred seventy-three".