Search a number
-
+
2221023222101 is a prime number
BaseRepresentation
bin100000010100011111010…
…011001101100101010101
321212022211221000212120002
4200110133103031211111
5242342123421101401
64420153551421045
7316315011615545
oct40243723154525
97768757025502
102221023222101
11786a26785a02
122ba548224785
13131598239228
14796d8acb325
153cb91e39a6b
hex2051f4cd955

2221023222101 has 2 divisors, whose sum is σ = 2221023222102. Its totient is φ = 2221023222100.

The previous prime is 2221023222097. The next prime is 2221023222113. The reversal of 2221023222101 is 1012223201222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2051383030225 + 169640191876 = 1432265^2 + 411874^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221023222101 - 22 = 2221023222097 is a prime.

It is a super-2 number, since 2×22210232221012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221023222181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110511611050 + 1110511611051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110511611051).

Almost surely, 22221023222101 is an apocalyptic number.

It is an amenable number.

2221023222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221023222101 is an equidigital number, since it uses as much as digits as its factorization.

2221023222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2221023222101 its reverse (1012223201222), we get a palindrome (3233246423323).

The spelling of 2221023222101 in words is "two trillion, two hundred twenty-one billion, twenty-three million, two hundred twenty-two thousand, one hundred one".