Search a number
-
+
22221212201 is a prime number
BaseRepresentation
bin10100101100011111…
…001100101000101001
32010100122010112120022
4110230133030220221
5331002112242301
614112553410225
71414443121136
oct245437145051
963318115508
1022221212201
119473327691
124381a09975
132131925396
14110b2c558d
158a0c77d1b
hex52c7cca29

22221212201 has 2 divisors, whose sum is σ = 22221212202. Its totient is φ = 22221212200.

The previous prime is 22221212183. The next prime is 22221212231. The reversal of 22221212201 is 10221212222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20044896400 + 2176315801 = 141580^2 + 46651^2 .

It is a cyclic number.

It is not a de Polignac number, because 22221212201 - 214 = 22221195817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22221212201.

It is not a weakly prime, because it can be changed into another prime (22221212231) 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, 11110606100 + 11110606101.

It is an arithmetic number, because the mean of its divisors is an integer number (11110606101).

Almost surely, 222221212201 is an apocalyptic number.

It is an amenable number.

22221212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221212201 is an equidigital number, since it uses as much as digits as its factorization.

22221212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22221212201 its reverse (10221212222), we get a palindrome (32442424423).

The spelling of 22221212201 in words is "twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, two hundred one".