Search a number
-
+
82213382393 is a prime number
BaseRepresentation
bin100110010010001001…
…1001010100011111001
321212012120222112211122
41030210103022203321
52321333111214033
6101433542035025
75640216135332
oct1144423124371
9255176875748
1082213382393
113195934702a
1213b25118a75
1379a287073c
143d9cadb289
152212980a98
hex13244ca8f9

82213382393 has 2 divisors, whose sum is σ = 82213382394. Its totient is φ = 82213382392.

The previous prime is 82213382333. The next prime is 82213382399. The reversal of 82213382393 is 39328331228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78532776169 + 3680606224 = 280237^2 + 60668^2 .

It is a cyclic number.

It is not a de Polignac number, because 82213382393 - 236 = 13493905657 is a prime.

It is not a weakly prime, because it can be changed into another prime (82213382399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41106691196 + 41106691197.

It is an arithmetic number, because the mean of its divisors is an integer number (41106691197).

Almost surely, 282213382393 is an apocalyptic number.

It is an amenable number.

82213382393 is a deficient number, since it is larger than the sum of its proper divisors (1).

82213382393 is an equidigital number, since it uses as much as digits as its factorization.

82213382393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 44.

The spelling of 82213382393 in words is "eighty-two billion, two hundred thirteen million, three hundred eighty-two thousand, three hundred ninety-three".