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221212200100009 is a prime number
BaseRepresentation
bin110010010011000011111010…
…100110110110000010101001
31002000020200100120102222011111
4302103003322212312002221
5212443320041211200014
62102251252022430321
764411024352231236
oct6223037246660251
91060220316388144
10221212200100009
1164537626a6a158
12209884a62923a1
1396582b45b2ab1
143c8aa287d478d
151a89384c0a2c4
hexc930fa9b60a9

221212200100009 has 2 divisors, whose sum is σ = 221212200100010. Its totient is φ = 221212200100008.

The previous prime is 221212200099983. The next prime is 221212200100037. The reversal of 221212200100009 is 900001002212122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219533206122409 + 1678993977600 = 14816653^2 + 1295760^2 .

It is a cyclic number.

It is not a de Polignac number, because 221212200100009 - 29 = 221212200099497 is a prime.

It is not a weakly prime, because it can be changed into another prime (221212200100039) 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, 110606100050004 + 110606100050005.

It is an arithmetic number, because the mean of its divisors is an integer number (110606100050005).

Almost surely, 2221212200100009 is an apocalyptic number.

It is an amenable number.

221212200100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

221212200100009 is an equidigital number, since it uses as much as digits as its factorization.

221212200100009 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 22.

The spelling of 221212200100009 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred million, one hundred thousand, nine".