114110143020 has 144 divisors (see below), whose sum is σ = 354764460960. Its totient is φ = 29671449600.

The previous prime is 114110142977. The next prime is 114110143031. The reversal of 114110143020 is 20341011411.

114110143020 is a `hidden beast` number, since 114 + 1 + 101 + 430 + 20 = 666.

It is a super-3 number, since 3×114110143020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 114110142984 and 114110143002.

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 47 ways as a sum of consecutive naturals, for example, 21687190 + ... + 21692450.

It is an arithmetic number, because the mean of its divisors is an integer number (2463642090).

Almost surely, 2^114110143020 is an apocalyptic number.

114110143020 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 114110143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177382230480).

114110143020 is an abundant number, since it is smaller than the sum of its proper divisors (240654317940).

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

114110143020 is a wasteful number, since it uses less digits than its factorization.

114110143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114110143020 its reverse (20341011411), we get a palindrome (134451154431).

The spelling of 114110143020 in words is "one hundred fourteen billion, one hundred ten million, one hundred forty-three thousand, twenty".