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20300013 = 323760961
BaseRepresentation
bin100110101110…
…0000011101101
31102012100101100
41031130003231
520144100023
62003033313
7334355466
oct115340355
942170340
1020300013
1110505778
12696b839
134289b56
1429a5d6d
151baec43
hex135c0ed

20300013 has 12 divisors (see below), whose sum is σ = 30115228. Its totient is φ = 13167360.

The previous prime is 20300011. The next prime is 20300017. The reversal of 20300013 is 31000302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7469289 + 12830724 = 2733^2 + 3582^2 .

It is not a de Polignac number, because 20300013 - 21 = 20300011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20299968 and 20300004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30148 + ... + 30813.

Almost surely, 220300013 is an apocalyptic number.

It is an amenable number.

20300013 is a deficient number, since it is larger than the sum of its proper divisors (9815215).

20300013 is a wasteful number, since it uses less digits than its factorization.

20300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61004 (or 61001 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20300013 is about 4505.5535730918. The cubic root of 20300013 is about 272.7922986463.

Adding to 20300013 its reverse (31000302), we get a palindrome (51300315).

The spelling of 20300013 in words is "twenty million, three hundred thousand, thirteen".

Divisors: 1 3 9 37 111 333 60961 182883 548649 2255557 6766671 20300013