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2140013 is a prime number
BaseRepresentation
bin1000001010011101101101
311000201112202
420022131231
51021440023
6113511245
724122051
oct10123555
94021482
102140013
111231907
12872525
1359c0a5
143d9c61
152c4128
hex20a76d

2140013 has 2 divisors, whose sum is σ = 2140014. Its totient is φ = 2140012.

The previous prime is 2140007. The next prime is 2140049. The reversal of 2140013 is 3100412.

It is a happy number.

2140013 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., 2036329 + 103684 = 1427^2 + 322^2 .

It is a cyclic number.

It is not a de Polignac number, because 2140013 - 28 = 2139757 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2139976 and 2140003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2140003) 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, 1070006 + 1070007.

It is an arithmetic number, because the mean of its divisors is an integer number (1070007).

22140013 is an apocalyptic number.

It is an amenable number.

2140013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2140013 is an equidigital number, since it uses as much as digits as its factorization.

2140013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2140013 is about 1462.8783271346. The cubic root of 2140013 is about 128.8661351970.

Adding to 2140013 its reverse (3100412), we get a palindrome (5240425).

The spelling of 2140013 in words is "two million, one hundred forty thousand, thirteen".