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2212006623221 is a prime number
BaseRepresentation
bin100000001100000101110…
…111100111011111110101
321211110120112201012011102
4200030011313213133311
5242220142143420341
64412103134415445
7315545405032343
oct40140567473765
97743515635142
102212006623221
1178311a08779a
122b8850661585
1313078c1c6915
14790c13d4993
153c81557ec9b
hex20305de77f5

2212006623221 has 2 divisors, whose sum is σ = 2212006623222. Its totient is φ = 2212006623220.

The previous prime is 2212006623187. The next prime is 2212006623223. The reversal of 2212006623221 is 1223266002122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1938529920721 + 273476702500 = 1392311^2 + 522950^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212006623221 - 210 = 2212006622197 is a prime.

Together with 2212006623223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212006623223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106003311610 + 1106003311611.

It is an arithmetic number, because the mean of its divisors is an integer number (1106003311611).

Almost surely, 22212006623221 is an apocalyptic number.

It is an amenable number.

2212006623221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212006623221 is an equidigital number, since it uses as much as digits as its factorization.

2212006623221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 2212006623221 in words is "two trillion, two hundred twelve billion, six million, six hundred twenty-three thousand, two hundred twenty-one".