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123000313301 is a prime number
BaseRepresentation
bin111001010001101100…
…0111101010111010101
3102202111002210022121022
41302203120331113111
54003401040011201
6132301111330525
711613030261335
oct1624330752725
9382432708538
10123000313301
1148189519998
121ba08680a45
13b7a297b398
145d4b9d10c5
1532ed5ac41b
hex1ca363d5d5

123000313301 has 2 divisors, whose sum is σ = 123000313302. Its totient is φ = 123000313300.

The previous prime is 123000313291. The next prime is 123000313349. The reversal of 123000313301 is 103313000321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122046121201 + 954192100 = 349351^2 + 30890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123000313301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123000313301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123000313351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500156650 + 61500156651.

It is an arithmetic number, because the mean of its divisors is an integer number (61500156651).

Almost surely, 2123000313301 is an apocalyptic number.

It is an amenable number.

123000313301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123000313301 is an equidigital number, since it uses as much as digits as its factorization.

123000313301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 123000313301 its reverse (103313000321), we get a palindrome (226313313622).

The spelling of 123000313301 in words is "one hundred twenty-three billion, three hundred thirteen thousand, three hundred one".