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221211200849 is a prime number
BaseRepresentation
bin1100111000000100110…
…1110000110101010001
3210010222120220022221212
43032001031300311101
512111020031411344
6245342323425505
721660551116502
oct3160115606521
9703876808855
10221211200849
11858a6a57361
1236a57225295
1317b249105b2
14a9c71b0ba9
155b4a6de79e
hex3381370d51

221211200849 has 2 divisors, whose sum is σ = 221211200850. Its totient is φ = 221211200848.

The previous prime is 221211200827. The next prime is 221211200891. The reversal of 221211200849 is 948002112122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162898610449 + 58312590400 = 403607^2 + 241480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221211200849 is a prime.

It is not a weakly prime, because it can be changed into another prime (221211200449) 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, 110605600424 + 110605600425.

It is an arithmetic number, because the mean of its divisors is an integer number (110605600425).

Almost surely, 2221211200849 is an apocalyptic number.

It is an amenable number.

221211200849 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211200849 is an equidigital number, since it uses as much as digits as its factorization.

221211200849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 221211200849 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred thousand, eight hundred forty-nine".