233000100000 has 432 divisors, whose sum is σ = 850694598936. Its totient is φ = 60445440000.

The previous prime is 233000099999. The next prime is 233000100007. The reversal of 233000100000 is 1000332.

It is a happy number.

233000100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 76952979216 + 156047120784 = 277404^2 + 395028^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (233000100007) by changing a digit.

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, 33296502 + ... + 33303498.

Almost surely, 2^233000100000 is an apocalyptic number.

233000100000 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 233000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425347299468).

233000100000 is an abundant number, since it is smaller than the sum of its proper divisors (617694498936).

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

233000100000 is an equidigital number, since it uses as much as digits as its factorization.

233000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 233000100000 its reverse (1000332), we get a palindrome (233001100332).

The spelling of 233000100000 in words is "two hundred thirty-three billion, one hundred thousand".