233100003440112 has 160 divisors (see below), whose sum is σ = 620473225630272. Its totient is φ = 75352736858112.

The previous prime is 233100003440107. The next prime is 233100003440137. The reversal of 233100003440112 is 211044300001332.

It is a happy number.

It is a super-2 number, since 2×233100003440112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6290291088 + ... + 6290328144.

Almost surely, 2^{233100003440112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233100003440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310236612815136).

233100003440112 is an abundant number, since it is smaller than the sum of its proper divisors (387373222190160).

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

233100003440112 is a wasteful number, since it uses less digits than its factorization.

233100003440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48595 (or 48589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233100003440112 its reverse (211044300001332), we get a palindrome (444144303441444).

The spelling of 233100003440112 in words is "two hundred thirty-three trillion, one hundred billion, three million, four hundred forty thousand, one hundred twelve".