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3002113 is a prime number
BaseRepresentation
bin1011011100111100000001
312122112010101
423130330001
51232031423
6144202401
734342342
oct13347401
95575111
103002113
111770594
121009401
138115ca
145820c9
153e47ad
hex2dcf01

3002113 has 2 divisors, whose sum is σ = 3002114. Its totient is φ = 3002112.

The previous prime is 3002107. The next prime is 3002117. The reversal of 3002113 is 3112003.

3002113 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., 2985984 + 16129 = 1728^2 + 127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3002113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3002113.

It is not a weakly prime, because it can be changed into another prime (3002117) 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, 1501056 + 1501057.

It is an arithmetic number, because the mean of its divisors is an integer number (1501057).

Almost surely, 23002113 is an apocalyptic number.

It is an amenable number.

3002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002113 is an equidigital number, since it uses as much as digits as its factorization.

3002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3002113 is about 1732.6606707604. The cubic root of 3002113 is about 144.2588098990.

Adding to 3002113 its reverse (3112003), we get a palindrome (6114116).

The spelling of 3002113 in words is "three million, two thousand, one hundred thirteen".