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312232000313 is a prime number
BaseRepresentation
bin1001000101100100111…
…10100011101100111001
31002211220222121000200202
410202302132203230321
520103422343002223
6355234251211545
731362254133002
oct4426236435471
91084828530622
10312232000313
11110464908172
1250619a46bb5
132359c07300c
141117d8b21a9
1581c64aa428
hex48b27a3b39

312232000313 has 2 divisors, whose sum is σ = 312232000314. Its totient is φ = 312232000312.

The previous prime is 312232000261. The next prime is 312232000337. The reversal of 312232000313 is 313000232213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247363985449 + 64868014864 = 497357^2 + 254692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312232000313 is a prime.

It is not a weakly prime, because it can be changed into another prime (312232005313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116000156 + 156116000157.

It is an arithmetic number, because the mean of its divisors is an integer number (156116000157).

Almost surely, 2312232000313 is an apocalyptic number.

It is an amenable number.

312232000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312232000313 is an equidigital number, since it uses as much as digits as its factorization.

312232000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312232000313 its reverse (313000232213), we get a palindrome (625232232526).

The spelling of 312232000313 in words is "three hundred twelve billion, two hundred thirty-two million, three hundred thirteen", and thus it is an aban number.