Search a number
-
+
202223102201 is a prime number
BaseRepresentation
bin1011110001010101101…
…1111010100011111001
3201022222021102222101222
42330111123322203321
511303123103232301
6232522222521425
720416164002351
oct2742533724371
9638867388358
10202223102201
117884273a84a
1233238136275
13160b9a7bc73
149b05453b61
1553d870631b
hex2f156fa8f9

202223102201 has 2 divisors, whose sum is σ = 202223102202. Its totient is φ = 202223102200.

The previous prime is 202223102189. The next prime is 202223102261. The reversal of 202223102201 is 102201322202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137122090000 + 65101012201 = 370300^2 + 255149^2 .

It is a cyclic number.

It is not a de Polignac number, because 202223102201 - 222 = 202218907897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202223102201.

It is not a weakly prime, because it can be changed into another prime (202223102261) 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, 101111551100 + 101111551101.

It is an arithmetic number, because the mean of its divisors is an integer number (101111551101).

Almost surely, 2202223102201 is an apocalyptic number.

It is an amenable number.

202223102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202223102201 is an equidigital number, since it uses as much as digits as its factorization.

202223102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 202223102201 its reverse (102201322202), we get a palindrome (304424424403).

The spelling of 202223102201 in words is "two hundred two billion, two hundred twenty-three million, one hundred two thousand, two hundred one".