Search a number
-
+
821000036369 is a prime number
BaseRepresentation
bin10111111001001110110…
…10100110000000010001
32220111010220102010020102
423330213122212000101
5101422402002130434
61425055012022145
7113213101110602
oct13744732460021
92814126363212
10821000036369
11297203131957
12113147301955
135c55c8a4bb6
142ba453a7da9
1516551c4a07e
hexbf276a6011

821000036369 has 2 divisors, whose sum is σ = 821000036370. Its totient is φ = 821000036368.

The previous prime is 821000036341. The next prime is 821000036377. The reversal of 821000036369 is 963630000128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760493875969 + 60506160400 = 872063^2 + 245980^2 .

It is a cyclic number.

It is not a de Polignac number, because 821000036369 - 212 = 821000032273 is a prime.

It is a super-2 number, since 2×8210000363692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (821000036669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410500018184 + 410500018185.

It is an arithmetic number, because the mean of its divisors is an integer number (410500018185).

Almost surely, 2821000036369 is an apocalyptic number.

It is an amenable number.

821000036369 is a deficient number, since it is larger than the sum of its proper divisors (1).

821000036369 is an equidigital number, since it uses as much as digits as its factorization.

821000036369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 821000036369 in words is "eight hundred twenty-one billion, thirty-six thousand, three hundred sixty-nine".