20413430100 has 432 divisors, whose sum is σ = 75811147776. Its totient is φ = 4497696000.

The previous prime is 20413430077. The next prime is 20413430161. The reversal of 20413430100 is 103431402.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21022615 + ... + 21023585.

It is an arithmetic number, because the mean of its divisors is an integer number (175488768).

Almost surely, 2^20413430100 is an apocalyptic number.

20413430100 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 20413430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37905573888).

20413430100 is an abundant number, since it is smaller than the sum of its proper divisors (55397717676).

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

20413430100 is a wasteful number, since it uses less digits than its factorization.

20413430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1106 counting only the distinct ones).

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

Adding to 20413430100 its reverse (103431402), we get a palindrome (20516861502).

The spelling of 20413430100 in words is "twenty billion, four hundred thirteen million, four hundred thirty thousand, one hundred".