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2138033 is a prime number
BaseRepresentation
bin1000001001111110110001
311000121211102
420021332301
51021404113
6113454145
724113222
oct10117661
94017742
102138033
111230377
12871355
1359b211
143d9249
152c3758
hex209fb1

2138033 has 2 divisors, whose sum is σ = 2138034. Its totient is φ = 2138032.

The previous prime is 2138029. The next prime is 2138093. The reversal of 2138033 is 3308312.

2138033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1787569 + 350464 = 1337^2 + 592^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138033 - 22 = 2138029 is a prime.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2137996 and 2138014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2138093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1069016 + 1069017.

It is an arithmetic number, because the mean of its divisors is an integer number (1069017).

22138033 is an apocalyptic number.

It is an amenable number.

2138033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138033 is an equidigital number, since it uses as much as digits as its factorization.

2138033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2138033 is about 1462.2014225133. The cubic root of 2138033 is about 128.8263794136.

The spelling of 2138033 in words is "two million, one hundred thirty-eight thousand, thirty-three".