Search a number
-
+
2222222011201 is a prime number
BaseRepresentation
bin100000010101100110110…
…000001110101101000001
321212102221110202200001101
4200111212300032231001
5242402102313324301
64420512533534401
7316356506301523
oct40254660165501
97772843680041
102222222011201
117874914349a5
122ba8217a4401
131317296c84aa
14797addc3a13
153cc122d6701
hex20566c0eb41

2222222011201 has 2 divisors, whose sum is σ = 2222222011202. Its totient is φ = 2222222011200.

The previous prime is 2222222011181. The next prime is 2222222011241. The reversal of 2222222011201 is 1021102222222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1851779361601 + 370442649600 = 1360801^2 + 608640^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222222011201 - 217 = 2222221880129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222222011241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111111005600 + 1111111005601.

It is an arithmetic number, because the mean of its divisors is an integer number (1111111005601).

Almost surely, 22222222011201 is an apocalyptic number.

It is an amenable number.

2222222011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222222011201 is an equidigital number, since it uses as much as digits as its factorization.

2222222011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2222222011201 its reverse (1021102222222), we get a palindrome (3243324233423).

The spelling of 2222222011201 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, eleven thousand, two hundred one".