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2003213223281 is a prime number
BaseRepresentation
bin11101001001101000110…
…100000000010101110001
321002111122101002111122202
4131021220310000111301
5230310040041121111
64132132523312545
7264504330310664
oct35115064002561
97074571074582
102003213223281
11702615706016
122842a007b755
13116b9618291a
146cd5551b6db
153719513db3b
hex1d268d00571

2003213223281 has 2 divisors, whose sum is σ = 2003213223282. Its totient is φ = 2003213223280.

The previous prime is 2003213223217. The next prime is 2003213223367. The reversal of 2003213223281 is 1823223123002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1973788967056 + 29424256225 = 1404916^2 + 171535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003213223281 - 26 = 2003213223217 is a prime.

It is a super-2 number, since 2×20032132232812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2003213223481) 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, 1001606611640 + 1001606611641.

It is an arithmetic number, because the mean of its divisors is an integer number (1001606611641).

Almost surely, 22003213223281 is an apocalyptic number.

It is an amenable number.

2003213223281 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003213223281 is an equidigital number, since it uses as much as digits as its factorization.

2003213223281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 2003213223281 its reverse (1823223123002), we get a palindrome (3826436346283).

The spelling of 2003213223281 in words is "two trillion, three billion, two hundred thirteen million, two hundred twenty-three thousand, two hundred eighty-one".