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2201200222009 is a prime number
BaseRepresentation
bin100000000010000001110…
…000011101111100111001
321210102200102120010112111
4200002001300131330321
5242031024224101014
64403114544012321
7315013536113425
oct40020160357471
97712612503474
102201200222009
1177958415a5a8
122b67356010a1
1312c759424a89
147877811bb85
153c3d19d32c4
hex20081c1df39

2201200222009 has 2 divisors, whose sum is σ = 2201200222010. Its totient is φ = 2201200222008.

The previous prime is 2201200221989. The next prime is 2201200222021. The reversal of 2201200222009 is 9002220021022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1704382470400 + 496817751609 = 1305520^2 + 704853^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201200222009 - 25 = 2201200221977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201200222069) 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, 1100600111004 + 1100600111005.

It is an arithmetic number, because the mean of its divisors is an integer number (1100600111005).

Almost surely, 22201200222009 is an apocalyptic number.

It is an amenable number.

2201200222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201200222009 is an equidigital number, since it uses as much as digits as its factorization.

2201200222009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 2201200222009 in words is "two trillion, two hundred one billion, two hundred million, two hundred twenty-two thousand, nine".