Search a number
-
+
212201101000033 is a prime number
BaseRepresentation
bin110000001111111011101011…
…001111101111110101100001
31000211100020010120201102222021
4300033323223033233311201
5210303200323324000113
62031151501235541441
762461011046533625
oct6017735317576541
91024306116642867
10212201101000033
1161682a88496a32
121b971bb345a881
13915362a10b832
143a58833a03185
15197ec86e1648d
hexc0feeb3efd61

212201101000033 has 2 divisors, whose sum is σ = 212201101000034. Its totient is φ = 212201101000032.

The previous prime is 212201100999989. The next prime is 212201101000067. The reversal of 212201101000033 is 330000101102212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126139336805329 + 86061764194704 = 11231177^2 + 9276948^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201101000033 - 229 = 212200564129121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212201100999980 and 212201101000016.

It is not a weakly prime, because it can be changed into another prime (212201101000073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100550500016 + 106100550500017.

It is an arithmetic number, because the mean of its divisors is an integer number (106100550500017).

Almost surely, 2212201101000033 is an apocalyptic number.

It is an amenable number.

212201101000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201101000033 is an equidigital number, since it uses as much as digits as its factorization.

212201101000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212201101000033 its reverse (330000101102212), we get a palindrome (542201202102245).

The spelling of 212201101000033 in words is "two hundred twelve trillion, two hundred one billion, one hundred one million, thirty-three", and thus it is an aban number.