232334113242100 has 72 divisors (see below), whose sum is σ = 507044736122400. Its totient is φ = 92402952451200.

The previous prime is 232334113242079. The next prime is 232334113242109. The reversal of 232334113242100 is 1242311433232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232334113242109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143630815 + ... + 145239385.

It is an arithmetic number, because the mean of its divisors is an integer number (7042288001700).

Almost surely, 2^{232334113242100} is an apocalyptic number.

232334113242100 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 232334113242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253522368061200).

232334113242100 is an abundant number, since it is smaller than the sum of its proper divisors (274710622880300).

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

232334113242100 is a wasteful number, since it uses less digits than its factorization.

232334113242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616833 (or 1616826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 232334113242100 its reverse (1242311433232), we get a palindrome (233576424675332).

The spelling of 232334113242100 in words is "two hundred thirty-two trillion, three hundred thirty-four billion, one hundred thirteen million, two hundred forty-two thousand, one hundred".