Search a number
-
+
202202222222201 is a prime number
BaseRepresentation
bin101101111110011011011111…
…101000001101101101111001
3222111221100021112021011210212
4231332123133220031231321
5203000340122342102301
61554014230222320505
760406425364331525
oct5576333750155571
9874840245234725
10202202222222201
1159478532052803
121a81818b129135
1388a97843547a6
1437d08d5778d85
151859b2564c4bb
hexb7e6dfa0db79

202202222222201 has 2 divisors, whose sum is σ = 202202222222202. Its totient is φ = 202202222222200.

The previous prime is 202202222222177. The next prime is 202202222222243. The reversal of 202202222222201 is 102222222202202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185441099640976 + 16761122581225 = 13617676^2 + 4094035^2 .

It is a cyclic number.

It is not a de Polignac number, because 202202222222201 - 226 = 202202155113337 is a prime.

It is not a weakly prime, because it can be changed into another prime (202202222222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101101111111100 + 101101111111101.

It is an arithmetic number, because the mean of its divisors is an integer number (101101111111101).

Almost surely, 2202202222222201 is an apocalyptic number.

It is an amenable number.

202202222222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202202222222201 is an equidigital number, since it uses as much as digits as its factorization.

202202222222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 202202222222201 its reverse (102222222202202), we get a palindrome (304424444424403).

The spelling of 202202222222201 in words is "two hundred two trillion, two hundred two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred one".