20430413100 has 216 divisors, whose sum is σ = 67704000000. Its totient is φ = 5138743680.

The previous prime is 20430413093. The next prime is 20430413123. The reversal of 20430413100 is 131403402.

It is a super-2 number, since 2×20430413100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4084401 + ... + 4089399.

Almost surely, 2^20430413100 is an apocalyptic number.

20430413100 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 20430413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852000000).

20430413100 is an abundant number, since it is smaller than the sum of its proper divisors (47273586900).

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

20430413100 is a wasteful number, since it uses less digits than its factorization.

20430413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20430413100 its reverse (131403402), we get a palindrome (20561816502).

The spelling of 20430413100 in words is "twenty billion, four hundred thirty million, four hundred thirteen thousand, one hundred".