Search a number
-
+
221021322002149 is a prime number
BaseRepresentation
bin110010010000010010001001…
…011000101011111011100101
31001222120102122221121220222111
4302100102021120223323211
5212432203131413032044
62102023443230401021
764361156254201144
oct6220221130537345
91058512587556874
10221021322002149
1164473686290059
12209574b5660171
1396432b5085866
143c816bbdbb75b
151a844124e1b34
hexc9048962bee5

221021322002149 has 2 divisors, whose sum is σ = 221021322002150. Its totient is φ = 221021322002148.

The previous prime is 221021322002141. The next prime is 221021322002153. The reversal of 221021322002149 is 941200223120122.

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., 216600184979649 + 4421137022500 = 14717343^2 + 2102650^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021322002149 - 23 = 221021322002141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221021322002149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221021322002141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510661001074 + 110510661001075.

It is an arithmetic number, because the mean of its divisors is an integer number (110510661001075).

Almost surely, 2221021322002149 is an apocalyptic number.

It is an amenable number.

221021322002149 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021322002149 is an equidigital number, since it uses as much as digits as its factorization.

221021322002149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 221021322002149 in words is "two hundred twenty-one trillion, twenty-one billion, three hundred twenty-two million, two thousand, one hundred forty-nine".