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4121313013 is a prime number
BaseRepresentation
bin1111010110100110…
…0011111011110101
3101122012222101121201
43311221203323311
531420024004023
61520542012501
7204062403556
oct36551437365
911565871551
104121313013
111825412514
12970277131
13508ab816c
142b14d232d
15191c39bad
hexf5a63ef5

4121313013 has 2 divisors, whose sum is σ = 4121313014. Its totient is φ = 4121313012.

The previous prime is 4121312963. The next prime is 4121313041. The reversal of 4121313013 is 3103131214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3507363729 + 613949284 = 59223^2 + 24778^2 .

It is a cyclic number.

It is not a de Polignac number, because 4121313013 - 225 = 4087758581 is a prime.

It is a super-2 number, since 2×41213130132 = 33970441902246276338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4121113013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2060656506 + 2060656507.

It is an arithmetic number, because the mean of its divisors is an integer number (2060656507).

Almost surely, 24121313013 is an apocalyptic number.

It is an amenable number.

4121313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4121313013 is an equidigital number, since it uses as much as digits as its factorization.

4121313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4121313013 is about 64197.4533217635. The cubic root of 4121313013 is about 1603.2891988328.

Adding to 4121313013 its reverse (3103131214), we get a palindrome (7224444227).

The spelling of 4121313013 in words is "four billion, one hundred twenty-one million, three hundred thirteen thousand, thirteen".