Search a number
-
+
20222200112201 is a prime number
BaseRepresentation
bin1001001100100010110010…
…00011011110010001001001
32122121020000220011201221222
410212101121003132101021
510122310031212042301
6111001541145411425
74155001653560033
oct446213103362111
978536026151858
1020222200112201
1164972068540aa
122327245a99b75
13b38c39a4b279
144dca8c8d0c53
1525105c2b631b
hex1264590de449

20222200112201 has 2 divisors, whose sum is σ = 20222200112202. Its totient is φ = 20222200112200.

The previous prime is 20222200112197. The next prime is 20222200112203. The reversal of 20222200112201 is 10221100222202.

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., 12584295079225 + 7637905032976 = 3547435^2 + 2763676^2 .

It is a cyclic number.

It is not a de Polignac number, because 20222200112201 - 22 = 20222200112197 is a prime.

Together with 20222200112203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20222200112201.

It is not a weakly prime, because it can be changed into another prime (20222200112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10111100056100 + 10111100056101.

It is an arithmetic number, because the mean of its divisors is an integer number (10111100056101).

Almost surely, 220222200112201 is an apocalyptic number.

It is an amenable number.

20222200112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20222200112201 is an equidigital number, since it uses as much as digits as its factorization.

20222200112201 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 20222200112201 its reverse (10221100222202), we get a palindrome (30443300334403).

The spelling of 20222200112201 in words is "twenty trillion, two hundred twenty-two billion, two hundred million, one hundred twelve thousand, two hundred one".