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12001300313 is a prime number
BaseRepresentation
bin10110010110101010…
…10100111101011001
31010222101120020001012
423023111110331121
5144034313102223
65302513303305
7603255240512
oct131325247531
933871506035
1012001300313
1150a946a612
1223ab264b35
1311934cb642
1481bc79a09
154a392ac78
hex2cb554f59

12001300313 has 2 divisors, whose sum is σ = 12001300314. Its totient is φ = 12001300312.

The previous prime is 12001300309. The next prime is 12001300321. The reversal of 12001300313 is 31300310021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8084167744 + 3917132569 = 89912^2 + 62587^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001300313 - 22 = 12001300309 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001300343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000650156 + 6000650157.

It is an arithmetic number, because the mean of its divisors is an integer number (6000650157).

Almost surely, 212001300313 is an apocalyptic number.

It is an amenable number.

12001300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001300313 is an equidigital number, since it uses as much as digits as its factorization.

12001300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 12001300313 its reverse (31300310021), we get a palindrome (43301610334).

The spelling of 12001300313 in words is "twelve billion, one million, three hundred thousand, three hundred thirteen".