110000033442 has 96 divisors (see below), whose sum is σ = 260956004400. Its totient is φ = 33285081600.

The previous prime is 110000033431. The next prime is 110000033443. The reversal of 110000033442 is 244330000011.

It can be written as a sum of positive squares in 8 ways, for example, as 65504771721 + 44495261721 = 255939^2 + 210939^2 .

It is a super-2 number, since 2×110000033442² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110000033443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3505848 + ... + 3537084.

Almost surely, 2^110000033442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000033442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130478002200).

110000033442 is an abundant number, since it is smaller than the sum of its proper divisors (150955970958).

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

110000033442 is a wasteful number, since it uses less digits than its factorization.

110000033442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31508 (or 31505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 110000033442 its reverse (244330000011), we get a palindrome (354330033453).

The spelling of 110000033442 in words is "one hundred ten billion, thirty-three thousand, four hundred forty-two".