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4141200013 is a prime number
BaseRepresentation
bin1111011011010101…
…1011001010001101
3101200121101202110021
43312311123022031
531440121400023
61522532142141
7204423422266
oct36665331215
911617352407
104141200013
111835665955
12976a67951
1350cc5c012
142b3dcb96d
1519386735d
hexf6d5b28d

4141200013 has 2 divisors, whose sum is σ = 4141200014. Its totient is φ = 4141200012.

The previous prime is 4141199999. The next prime is 4141200059. The reversal of 4141200013 is 3100021414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3956158404 + 185041609 = 62898^2 + 13603^2 .

It is a cyclic number.

It is not a de Polignac number, because 4141200013 - 25 = 4141199981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4141200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4141200073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070600006 + 2070600007.

It is an arithmetic number, because the mean of its divisors is an integer number (2070600007).

Almost surely, 24141200013 is an apocalyptic number.

It is an amenable number.

4141200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4141200013 is an equidigital number, since it uses as much as digits as its factorization.

4141200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4141200013 is about 64352.1562420406. The cubic root of 4141200013 is about 1605.8639012689.

Adding to 4141200013 its reverse (3100021414), we get a palindrome (7241221427).

The spelling of 4141200013 in words is "four billion, one hundred forty-one million, two hundred thousand, thirteen".