Search a number
-
+
2200211222101 is a prime number
BaseRepresentation
bin100000000001000110110…
…011101110111001010101
321210100010111120201201021
4200001012303232321111
5242022013033101401
64402432454201141
7314650166545654
oct40010663567125
97710114521637
102200211222101
1177911696a302
122b64ba3531b1
1312c62c569729
14786c2a3519b
153c374c762a1
hex20046ceee55

2200211222101 has 2 divisors, whose sum is σ = 2200211222102. Its totient is φ = 2200211222100.

The previous prime is 2200211222093. The next prime is 2200211222113. The reversal of 2200211222101 is 1012221120022.

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., 2099966163876 + 100245058225 = 1449126^2 + 316615^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200211222101 - 23 = 2200211222093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200211222161) 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, 1100105611050 + 1100105611051.

It is an arithmetic number, because the mean of its divisors is an integer number (1100105611051).

Almost surely, 22200211222101 is an apocalyptic number.

It is an amenable number.

2200211222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200211222101 is an equidigital number, since it uses as much as digits as its factorization.

2200211222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2200211222101 its reverse (1012221120022), we get a palindrome (3212432342123).

The spelling of 2200211222101 in words is "two trillion, two hundred billion, two hundred eleven million, two hundred twenty-two thousand, one hundred one".