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221020881149 is a prime number
BaseRepresentation
bin1100110111010111011…
…1110000000011111101
3210010111022210002102002
43031311313300003331
512110122321144044
6245311404312045
721653050330535
oct3156567600375
9703438702362
10221020881149
1185809586352
1236a03542625
1317ac43654a3
14a9a9bcc4c5
155b38b4874e
hex3375df00fd

221020881149 has 2 divisors, whose sum is σ = 221020881150. Its totient is φ = 221020881148.

The previous prime is 221020881089. The next prime is 221020881187. The reversal of 221020881149 is 941188020122.

It is an a-pointer prime, because the next prime (221020881187) can be obtained adding 221020881149 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218794740025 + 2226141124 = 467755^2 + 47182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221020881149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221020881349) 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, 110510440574 + 110510440575.

It is an arithmetic number, because the mean of its divisors is an integer number (110510440575).

Almost surely, 2221020881149 is an apocalyptic number.

It is an amenable number.

221020881149 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020881149 is an equidigital number, since it uses as much as digits as its factorization.

221020881149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 221020881149 in words is "two hundred twenty-one billion, twenty million, eight hundred eighty-one thousand, one hundred forty-nine".