110431220020 has 144 divisors (see below), whose sum is σ = 262579641408. Its totient is φ = 38688000000.

The previous prime is 110431220017. The next prime is 110431220027. The reversal of 110431220020 is 20022134011.

It is a super-3 number, since 3×110431220020³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110431219976 and 110431220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110431220027) 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 47 ways as a sum of consecutive naturals, for example, 53065380 + ... + 53067460.

It is an arithmetic number, because the mean of its divisors is an integer number (1823469732).

Almost surely, 2^110431220020 is an apocalyptic number.

110431220020 is a gapful number since it is divisible by the number (10) 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 110431220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131289820704).

110431220020 is an abundant number, since it is smaller than the sum of its proper divisors (152148421388).

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

110431220020 is a wasteful number, since it uses less digits than its factorization.

110431220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110431220020 its reverse (20022134011), we get a palindrome (130453354031).

The spelling of 110431220020 in words is "one hundred ten billion, four hundred thirty-one million, two hundred twenty thousand, twenty".