Search a number
-
+
20830013 is a prime number
BaseRepresentation
bin100111101110…
…1011100111101
31110012021101222
41033131130331
520313030023
62022243125
7342023621
oct117353475
943167358
1020830013
1110837996
126b864a5
134414169
142aa3181
151c66cc8
hex13dd73d

20830013 has 2 divisors, whose sum is σ = 20830014. Its totient is φ = 20830012.

The previous prime is 20829989. The next prime is 20830021. The reversal of 20830013 is 31003802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18130564 + 2699449 = 4258^2 + 1643^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20830013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20829973 and 20830000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20830813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10415006 + 10415007.

It is an arithmetic number, because the mean of its divisors is an integer number (10415007).

Almost surely, 220830013 is an apocalyptic number.

It is an amenable number.

20830013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20830013 is an equidigital number, since it uses as much as digits as its factorization.

20830013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 20830013 is about 4563.9909070900. The cubic root of 20830013 is about 275.1459852991.

Adding to 20830013 its reverse (31003802), we get a palindrome (51833815).

The spelling of 20830013 in words is "twenty million, eight hundred thirty thousand, thirteen".