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2200211111113 is a prime number
BaseRepresentation
bin100000000001000110110…
…011010011110011001001
321210100010111101002110121
4200001012303103303021
5242022013021023423
64402432451543241
7314650165604251
oct40010663236311
97710114332417
102200211111113
117791168a3984
122b64ba2bab21
1312c62c52b062
14786c2a06961
153c374c5345d
hex20046cd3cc9

2200211111113 has 2 divisors, whose sum is σ = 2200211111114. Its totient is φ = 2200211111112.

The previous prime is 2200211111107. The next prime is 2200211111129. The reversal of 2200211111113 is 3111111120022.

It is a happy number.

It is an a-pointer prime, because the next prime (2200211111129) can be obtained adding 2200211111113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1558422663424 + 641788447689 = 1248368^2 + 801117^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200211111113 - 25 = 2200211111081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200211111173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100105555556 + 1100105555557.

It is an arithmetic number, because the mean of its divisors is an integer number (1100105555557).

Almost surely, 22200211111113 is an apocalyptic number.

It is an amenable number.

2200211111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200211111113 is an equidigital number, since it uses as much as digits as its factorization.

2200211111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2200211111113 its reverse (3111111120022), we get a palindrome (5311322231135).

The spelling of 2200211111113 in words is "two trillion, two hundred billion, two hundred eleven million, one hundred eleven thousand, one hundred thirteen".