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8005316213 is a prime number
BaseRepresentation
bin1110111010010011…
…10110111001110101
3202122220102012101002
413131021312321311
5112343330104323
63402205413045
7402244031216
oct73511667165
922586365332
108005316213
113438879614
121674b6a185
139a7684acb
1455d28d40d
1531cbea828
hex1dd276e75

8005316213 has 2 divisors, whose sum is σ = 8005316214. Its totient is φ = 8005316212.

The previous prime is 8005316203. The next prime is 8005316237. The reversal of 8005316213 is 3126135008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8002733764 + 2582449 = 89458^2 + 1607^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005316213 - 218 = 8005054069 is a prime.

It is a super-2 number, since 2×80053162132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8005316203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002658106 + 4002658107.

It is an arithmetic number, because the mean of its divisors is an integer number (4002658107).

Almost surely, 28005316213 is an apocalyptic number.

It is an amenable number.

8005316213 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005316213 is an equidigital number, since it uses as much as digits as its factorization.

8005316213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 8005316213 is about 89472.4326985692. The cubic root of 8005316213 is about 2000.4429196538.

The spelling of 8005316213 in words is "eight billion, five million, three hundred sixteen thousand, two hundred thirteen".