Search a number
-
+
82263323273 is a prime number
BaseRepresentation
bin100110010011101000…
…1101011001010001001
321212100001221210211212
41030213101223022021
52321433402321043
6101442524302505
75641363465505
oct1144721531211
9255301853755
1082263323273
113198455738a
1213b399a1a35
1379b0007c61
143da55bb305
152217048018
hex132746b289

82263323273 has 2 divisors, whose sum is σ = 82263323274. Its totient is φ = 82263323272.

The previous prime is 82263323269. The next prime is 82263323287. The reversal of 82263323273 is 37232336228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75346407049 + 6916916224 = 274493^2 + 83168^2 .

It is a cyclic number.

It is not a de Polignac number, because 82263323273 - 22 = 82263323269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82263323273.

It is not a weakly prime, because it can be changed into another prime (82263323213) 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, 41131661636 + 41131661637.

It is an arithmetic number, because the mean of its divisors is an integer number (41131661637).

Almost surely, 282263323273 is an apocalyptic number.

It is an amenable number.

82263323273 is a deficient number, since it is larger than the sum of its proper divisors (1).

82263323273 is an equidigital number, since it uses as much as digits as its factorization.

82263323273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 41.

The spelling of 82263323273 in words is "eighty-two billion, two hundred sixty-three million, three hundred twenty-three thousand, two hundred seventy-three".