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221839116049 is a prime number
BaseRepresentation
bin1100111010011010100…
…1000100011100010001
3210012121100102201200101
43032212221010130101
512113311303203144
6245524514052401
722012244242165
oct3164651043421
9705540381611
10221839116049
1186099441341
1236bb157a101
1317bc4a31255
14aa46742ca5
155b858c36d4
hex33a6a44711

221839116049 has 2 divisors, whose sum is σ = 221839116050. Its totient is φ = 221839116048.

The previous prime is 221839115999. The next prime is 221839116067. The reversal of 221839116049 is 940611938122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220129872400 + 1709243649 = 469180^2 + 41343^2 .

It is a cyclic number.

It is not a de Polignac number, because 221839116049 - 211 = 221839114001 is a prime.

It is not a weakly prime, because it can be changed into another prime (221831116049) 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, 110919558024 + 110919558025.

It is an arithmetic number, because the mean of its divisors is an integer number (110919558025).

Almost surely, 2221839116049 is an apocalyptic number.

It is an amenable number.

221839116049 is a deficient number, since it is larger than the sum of its proper divisors (1).

221839116049 is an equidigital number, since it uses as much as digits as its factorization.

221839116049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 221839116049 in words is "two hundred twenty-one billion, eight hundred thirty-nine million, one hundred sixteen thousand, forty-nine".