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2112224201 is a prime number
BaseRepresentation
bin111110111100101…
…1111101111001001
312110012112002212222
41331321133233021
513311212133301
6545332143425
7103225416023
oct17571375711
95405462788
102112224201
1199432833a
124ab467b75
132787aac09
1416074d013
15c567e31b
hex7de5fbc9

2112224201 has 2 divisors, whose sum is σ = 2112224202. Its totient is φ = 2112224200.

The previous prime is 2112224197. The next prime is 2112224203. The reversal of 2112224201 is 1024222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1855455625 + 256768576 = 43075^2 + 16024^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112224201 - 22 = 2112224197 is a prime.

It is a super-2 number, since 2×21122242012 = 8922982150580176802, which contains 22 as substring.

Together with 2112224203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112224201.

It is not a weakly prime, because it can be changed into another prime (2112224203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056112100 + 1056112101.

It is an arithmetic number, because the mean of its divisors is an integer number (1056112101).

Almost surely, 22112224201 is an apocalyptic number.

It is an amenable number.

2112224201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112224201 is an equidigital number, since it uses as much as digits as its factorization.

2112224201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2112224201 is about 45958.9403816058. The cubic root of 2112224201 is about 1283.0591301649.

Adding to 2112224201 its reverse (1024222112), we get a palindrome (3136446313).

The spelling of 2112224201 in words is "two billion, one hundred twelve million, two hundred twenty-four thousand, two hundred one".