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2133137 is a prime number
BaseRepresentation
bin1000001000110010010001
311000101010002
420020302101
51021230022
6113415345
724063026
oct10106221
94011102
102133137
111227726
1286a555
13598c16
143d754d
152c2092
hex208c91

2133137 has 2 divisors, whose sum is σ = 2133138. Its totient is φ = 2133136.

The previous prime is 2133121. The next prime is 2133151. The reversal of 2133137 is 7313312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1478656 + 654481 = 1216^2 + 809^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133137 - 24 = 2133121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2133167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066568 + 1066569.

It is an arithmetic number, because the mean of its divisors is an integer number (1066569).

22133137 is an apocalyptic number.

It is an amenable number.

2133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133137 is an equidigital number, since it uses as much as digits as its factorization.

2133137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 20.

The square root of 2133137 is about 1460.5262750119. The cubic root of 2133137 is about 128.7279687065.

Adding to 2133137 its reverse (7313312), we get a palindrome (9446449).

The spelling of 2133137 in words is "two million, one hundred thirty-three thousand, one hundred thirty-seven".