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2213312137 is a prime number
BaseRepresentation
bin1000001111101100…
…0111011010001001
312201020201220110121
42003323013122021
514013101442022
61003342543241
7105563562031
oct20373073211
95636656417
102213312137
11a363a2193
12519297b21
1329371296a
1416dd448c1
15ce49b2c7
hex83ec7689

2213312137 has 2 divisors, whose sum is σ = 2213312138. Its totient is φ = 2213312136.

The previous prime is 2213312083. The next prime is 2213312183. The reversal of 2213312137 is 7312133122.

It is a happy number.

2213312137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1385253961 + 828058176 = 37219^2 + 28776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213312137 - 27 = 2213312009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213312197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106656068 + 1106656069.

It is an arithmetic number, because the mean of its divisors is an integer number (1106656069).

Almost surely, 22213312137 is an apocalyptic number.

It is an amenable number.

2213312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213312137 is an equidigital number, since it uses as much as digits as its factorization.

2213312137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 25.

The square root of 2213312137 is about 47045.8514324058. The cubic root of 2213312137 is about 1303.2094539687.

Adding to 2213312137 its reverse (7312133122), we get a palindrome (9525445259).

The spelling of 2213312137 in words is "two billion, two hundred thirteen million, three hundred twelve thousand, one hundred thirty-seven".