Search a number
-
+
821122483369 is a prime number
BaseRepresentation
bin10111111001011101011…
…01101100010010101001
32220111110102211001221111
423330232231230102221
5101423124323431434
61425115104310321
7113216115643126
oct13745655542251
92814412731844
10821122483369
11297266265121
121131803123a1
135c57c077846
142ba5775d74d
151655c885964
hexbf2eb6c4a9

821122483369 has 2 divisors, whose sum is σ = 821122483370. Its totient is φ = 821122483368.

The previous prime is 821122483361. The next prime is 821122483373. The reversal of 821122483369 is 963384221128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 820681987225 + 440496144 = 905915^2 + 20988^2 .

It is a cyclic number.

It is not a de Polignac number, because 821122483369 - 23 = 821122483361 is a prime.

It is a super-2 number, since 2×8211224833692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (821122483361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410561241684 + 410561241685.

It is an arithmetic number, because the mean of its divisors is an integer number (410561241685).

Almost surely, 2821122483369 is an apocalyptic number.

It is an amenable number.

821122483369 is a deficient number, since it is larger than the sum of its proper divisors (1).

821122483369 is an equidigital number, since it uses as much as digits as its factorization.

821122483369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 995328, while the sum is 49.

The spelling of 821122483369 in words is "eight hundred twenty-one billion, one hundred twenty-two million, four hundred eighty-three thousand, three hundred sixty-nine".