20420241300 has 108 divisors (see below), whose sum is σ = 64572859260. Its totient is φ = 5397181440.

The previous prime is 20420241299. The next prime is 20420241313. The reversal of 20420241300 is 314202402.

20420241300 is a `hidden beast` number, since 2 + 0 + 420 + 241 + 3 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3064286736 + 17355954564 = 55356^2 + 131742^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1306 + ... + 202094.

It is an arithmetic number, because the mean of its divisors is an integer number (597896845).

Almost surely, 2^20420241300 is an apocalyptic number.

20420241300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32286429630).

20420241300 is an abundant number, since it is smaller than the sum of its proper divisors (44152617960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20420241300 is a wasteful number, since it uses less digits than its factorization.

20420241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200922 (or 200912 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20420241300 its reverse (314202402), we get a palindrome (20734443702).

The spelling of 20420241300 in words is "twenty billion, four hundred twenty million, two hundred forty-one thousand, three hundred".