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42013 is a prime number
BaseRepresentation
bin1010010000011101
32010122001
422100131
52321023
6522301
7233326
oct122035
963561
1042013
1129624
1220391
131617a
141144d
15c6ad
hexa41d

42013 has 2 divisors, whose sum is σ = 42014. Its totient is φ = 42012.

The previous prime is 41999. The next prime is 42017. The reversal of 42013 is 31024.

Adding to 42013 its reverse (31024), we get a palindrome (73037).

It can be divided in two parts, 420 and 13, that multiplied together give a triangular number (5460 = T104).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 2809 = 198^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 42013 - 25 = 41981 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21006 + 21007.

It is an arithmetic number, because the mean of its divisors is an integer number (21007).

242013 is an apocalyptic number.

It is an amenable number.

42013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42013 is an equidigital number, since it uses as much as digits as its factorization.

42013 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 10.

The square root of 42013 is about 204.9707296177. The cubic root of 42013 is about 34.7638524556.

The spelling of 42013 in words is "forty-two thousand, thirteen".