420110203300 has 72 divisors (see below), whose sum is σ = 966011999400. Its totient is φ = 158036736000.

The previous prime is 420110203297. The next prime is 420110203313. The reversal of 420110203300 is 3302011024.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 289054619044 + 131055584256 = 537638^2 + 362016^2 .

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 2116726 + ... + 2306674.

It is an arithmetic number, because the mean of its divisors is an integer number (13416833325).

Almost surely, 2^420110203300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420110203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483005999700).

420110203300 is an abundant number, since it is smaller than the sum of its proper divisors (545901796100).

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

420110203300 is a wasteful number, since it uses less digits than its factorization.

420110203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191281 (or 191274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 420110203300 its reverse (3302011024), we get a palindrome (423412214324).

The spelling of 420110203300 in words is "four hundred twenty billion, one hundred ten million, two hundred three thousand, three hundred".