234123210300 has 216 divisors, whose sum is σ = 804759992064. Its totient is φ = 52375128960.

The previous prime is 234123210281. The next prime is 234123210317. The reversal of 234123210300 is 3012321432.

234123210300 = 24243² + 24244² + ... + 24634².

234123210300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 521467 + ... + 860333.

It is an arithmetic number, because the mean of its divisors is an integer number (3725740704).

Almost surely, 2^234123210300 is an apocalyptic number.

234123210300 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 234123210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402379996032).

234123210300 is an abundant number, since it is smaller than the sum of its proper divisors (570636781764).

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

234123210300 is a wasteful number, since it uses less digits than its factorization.

234123210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338945 (or 338931 counting only the distinct ones).

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

Adding to 234123210300 its reverse (3012321432), we get a palindrome (237135531732).

It can be divided in two parts, 2341232 and 10300, that added together give a palindrome (2351532).

The spelling of 234123210300 in words is "two hundred thirty-four billion, one hundred twenty-three million, two hundred ten thousand, three hundred".