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2211022200001 is a prime number
BaseRepresentation
bin100000001011001011001…
…100010101110011000001
321211101000221100022101011
4200023023030111303001
5242211133140400001
64411421331040521
7315512122415656
oct40131314256301
97741027308334
102211022200001
11782764432a8a
122b8616a40141
13130663281784
147902a77dc2d
153c7a8e28d51
hex202cb315cc1

2211022200001 has 2 divisors, whose sum is σ = 2211022200002. Its totient is φ = 2211022200000.

The previous prime is 2211022199959. The next prime is 2211022200047. The reversal of 2211022200001 is 1000022201122.

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., 1679032850625 + 531989349376 = 1295775^2 + 729376^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211022200001 - 229 = 2210485329089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211022200071) 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, 1105511100000 + 1105511100001.

It is an arithmetic number, because the mean of its divisors is an integer number (1105511100001).

Almost surely, 22211022200001 is an apocalyptic number.

It is an amenable number.

2211022200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211022200001 is an equidigital number, since it uses as much as digits as its factorization.

2211022200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2211022200001 its reverse (1000022201122), we get a palindrome (3211044401123).

The spelling of 2211022200001 in words is "two trillion, two hundred eleven billion, twenty-two million, two hundred thousand, one".