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312807087349 is a prime number
BaseRepresentation
bin1001000110101001100…
…00010101110011110101
31002220102001201110210121
410203110300111303311
520111112103243344
6355411313251541
731412436241411
oct4432460256365
91086361643717
10312807087349
1111072a49a609
125075a563bb1
13236612581c3
14111d6011d41
15820bc06684
hex48d4c15cf5

312807087349 has 2 divisors, whose sum is σ = 312807087350. Its totient is φ = 312807087348.

The previous prime is 312807087343. The next prime is 312807087367. The reversal of 312807087349 is 943780708213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278764992324 + 34042095025 = 527982^2 + 184505^2 .

It is a cyclic number.

It is not a de Polignac number, because 312807087349 - 235 = 278447348981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312807087296 and 312807087305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312807087343) 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, 156403543674 + 156403543675.

It is an arithmetic number, because the mean of its divisors is an integer number (156403543675).

Almost surely, 2312807087349 is an apocalyptic number.

It is an amenable number.

312807087349 is a deficient number, since it is larger than the sum of its proper divisors (1).

312807087349 is an equidigital number, since it uses as much as digits as its factorization.

312807087349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 312807087349 in words is "three hundred twelve billion, eight hundred seven million, eighty-seven thousand, three hundred forty-nine".