230032132430100 has 1728 divisors, whose sum is σ = 918375380213760. Its totient is φ = 43697351577600.

The previous prime is 230032132430069. The next prime is 230032132430119. The reversal of 230032132430100 is 1034231230032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 104228423197 + ... + 104228425403.

It is an arithmetic number, because the mean of its divisors is an integer number (531467233920).

Almost surely, 2^{230032132430100} is an apocalyptic number.

230032132430100 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 230032132430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459187690106880).

230032132430100 is an abundant number, since it is smaller than the sum of its proper divisors (688343247783660).

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

230032132430100 is a wasteful number, since it uses less digits than its factorization.

230032132430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230032132430100 its reverse (1034231230032), we get a palindrome (231066363660132).

The spelling of 230032132430100 in words is "two hundred thirty trillion, thirty-two billion, one hundred thirty-two million, four hundred thirty thousand, one hundred".