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2241133117 is a prime number
BaseRepresentation
bin1000010110010100…
…1111101000111101
312210012002100200021
42011211033220331
514042212224432
61010215132141
7106352213536
oct20545175075
95705070607
102241133117
11a50074533
12526674051
13299403b92
1417390768d
15d1b44697
hex8594fa3d

2241133117 has 2 divisors, whose sum is σ = 2241133118. Its totient is φ = 2241133116.

The previous prime is 2241133051. The next prime is 2241133151. The reversal of 2241133117 is 7113311422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2052180601 + 188952516 = 45301^2 + 13746^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241133117 - 211 = 2241131069 is a prime.

It is a super-2 number, since 2×22411331172 = 10045355296228271378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2241133091 and 2241133100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2241134117) 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, 1120566558 + 1120566559.

It is an arithmetic number, because the mean of its divisors is an integer number (1120566559).

Almost surely, 22241133117 is an apocalyptic number.

It is an amenable number.

2241133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241133117 is an equidigital number, since it uses as much as digits as its factorization.

2241133117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 2241133117 is about 47340.6074844842. The cubic root of 2241133117 is about 1308.6471119346.

Adding to 2241133117 its reverse (7113311422), we get a palindrome (9354444539).

The spelling of 2241133117 in words is "two billion, two hundred forty-one million, one hundred thirty-three thousand, one hundred seventeen".