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2244131424193 is a prime number
BaseRepresentation
bin100000101010000000101…
…010000000011111000001
321221112111101012011111211
4200222000222000133001
5243231440121033233
64434534552410121
7321063445241251
oct40520052003701
97845441164454
102244131424193
1179580475918a
12302b170a6941
1313380b8512a9
147a88bb03961
153d5959be5cd
hex20a80a807c1

2244131424193 has 2 divisors, whose sum is σ = 2244131424194. Its totient is φ = 2244131424192.

The previous prime is 2244131424173. The next prime is 2244131424203. The reversal of 2244131424193 is 3914241314422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2129827928449 + 114303495744 = 1459393^2 + 338088^2 .

It is a cyclic number.

It is not a de Polignac number, because 2244131424193 - 217 = 2244131293121 is a prime.

It is a super-2 number, since 2×22441314241932 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2244131424113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1122065712096 + 1122065712097.

It is an arithmetic number, because the mean of its divisors is an integer number (1122065712097).

Almost surely, 22244131424193 is an apocalyptic number.

It is an amenable number.

2244131424193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2244131424193 is an equidigital number, since it uses as much as digits as its factorization.

2244131424193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165888, while the sum is 40.

The spelling of 2244131424193 in words is "two trillion, two hundred forty-four billion, one hundred thirty-one million, four hundred twenty-four thousand, one hundred ninety-three".