Search a number
-
+
22022201101 is a prime number
BaseRepresentation
bin10100100000101000…
…000001111100001101
32002211202122201122211
4110200220001330031
5330100140413401
614041124110421
71406505422635
oct244050017415
962752581584
1022022201101
119380a5a6aa
124327235411
1320cc626234
1410ccabd6c5
1588d566951
hex520a01f0d

22022201101 has 2 divisors, whose sum is σ = 22022201102. Its totient is φ = 22022201100.

The previous prime is 22022201059. The next prime is 22022201111. The reversal of 22022201101 is 10110222022.

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., 18184522500 + 3837678601 = 134850^2 + 61949^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022201101 - 219 = 22021676813 is a prime.

It is a super-2 number, since 2×220222011012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22022201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11011100550 + 11011100551.

It is an arithmetic number, because the mean of its divisors is an integer number (11011100551).

Almost surely, 222022201101 is an apocalyptic number.

It is an amenable number.

22022201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022201101 is an equidigital number, since it uses as much as digits as its factorization.

22022201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22022201101 its reverse (10110222022), we get a palindrome (32132423123).

The spelling of 22022201101 in words is "twenty-two billion, twenty-two million, two hundred one thousand, one hundred one".