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221745894313 is a prime number
BaseRepresentation
bin1100111010000100010…
…1011101001110101001
3210012100212000120111111
43032201011131032221
512113113422104223
6245511344030321
722010033000536
oct3164105351651
9705325016444
10221745894313
118605085a489
1236b863023a1
1317bab621a68
14aa381d7d8d
155b7c60c30d
hex33a115d3a9

221745894313 has 2 divisors, whose sum is σ = 221745894314. Its totient is φ = 221745894312.

The previous prime is 221745894301. The next prime is 221745894449. The reversal of 221745894313 is 313498547122.

221745894313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198868726809 + 22877167504 = 445947^2 + 151252^2 .

It is a cyclic number.

It is not a de Polignac number, because 221745894313 - 25 = 221745894281 is a prime.

It is not a weakly prime, because it can be changed into another prime (221745894613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110872947156 + 110872947157.

It is an arithmetic number, because the mean of its divisors is an integer number (110872947157).

Almost surely, 2221745894313 is an apocalyptic number.

It is an amenable number.

221745894313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221745894313 is an equidigital number, since it uses as much as digits as its factorization.

221745894313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451520, while the sum is 49.

The spelling of 221745894313 in words is "two hundred twenty-one billion, seven hundred forty-five million, eight hundred ninety-four thousand, three hundred thirteen".