20303410034100 has 288 divisors, whose sum is σ = 62958369906432. Its totient is φ = 5034009600000.

The previous prime is 20303410034081. The next prime is 20303410034101. The reversal of 20303410034100 is 143001430302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303410034101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139315270 + ... + 139460930.

It is an arithmetic number, because the mean of its divisors is an integer number (218605451064).

Almost surely, 2^{20303410034100} is an apocalyptic number.

20303410034100 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 20303410034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31479184953216).

20303410034100 is an abundant number, since it is smaller than the sum of its proper divisors (42654959872332).

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

20303410034100 is a wasteful number, since it uses less digits than its factorization.

20303410034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146027 (or 146020 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20303410034100 its reverse (143001430302), we get a palindrome (20446411464402).

The spelling of 20303410034100 in words is "twenty trillion, three hundred three billion, four hundred ten million, thirty-four thousand, one hundred".