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2201212021133 is a prime number
BaseRepresentation
bin100000000010000010011…
…101011110100110001101
321210102201020202120220002
4200002002131132212031
5242031040234134013
64403120044534045
7315014041315256
oct40020235364615
97712636676802
102201212021133
1177958a889444
122b6739551325
1312c75b9c64c8
147877990db2d
153c3d2a64358
hex2008275e98d

2201212021133 has 2 divisors, whose sum is σ = 2201212021134. Its totient is φ = 2201212021132.

The previous prime is 2201212021093. The next prime is 2201212021147. The reversal of 2201212021133 is 3311202121022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1767402736969 + 433809284164 = 1329437^2 + 658642^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201212021133 - 220 = 2201210972557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201212021153) 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, 1100606010566 + 1100606010567.

It is an arithmetic number, because the mean of its divisors is an integer number (1100606010567).

Almost surely, 22201212021133 is an apocalyptic number.

It is an amenable number.

2201212021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201212021133 is an equidigital number, since it uses as much as digits as its factorization.

2201212021133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2201212021133 its reverse (3311202121022), we get a palindrome (5512414142155).

The spelling of 2201212021133 in words is "two trillion, two hundred one billion, two hundred twelve million, twenty-one thousand, one hundred thirty-three".