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820834331 is a prime number
BaseRepresentation
bin110000111011001…
…111000000011011
32010012112201000112
4300323033000123
53140113144311
6213241154535
726224656002
oct6073170033
92105481015
10820834331
11391380a89
121aaa8ba4b
13101098cb5
147b02dc39
154c0e028b
hex30ecf01b

820834331 has 2 divisors, whose sum is σ = 820834332. Its totient is φ = 820834330.

The previous prime is 820834319. The next prime is 820834349. The reversal of 820834331 is 133438028.

It is a happy number.

820834331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-820834331 is a prime.

It is a super-2 number, since 2×8208343312 = 1347537997896435122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (820834351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410417165 + 410417166.

It is an arithmetic number, because the mean of its divisors is an integer number (410417166).

Almost surely, 2820834331 is an apocalyptic number.

820834331 is a deficient number, since it is larger than the sum of its proper divisors (1).

820834331 is an equidigital number, since it uses as much as digits as its factorization.

820834331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 820834331 is about 28650.2064739506. The cubic root of 820834331 is about 936.3075041433.

The spelling of 820834331 in words is "eight hundred twenty million, eight hundred thirty-four thousand, three hundred thirty-one".