110000013420 has 144 divisors (see below), whose sum is σ = 338754255840. Its totient is φ = 26650229760.

The previous prime is 110000013401. The next prime is 110000013479. The reversal of 110000013420 is 24310000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110000013396 and 110000013405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15162514 + ... + 15169766.

It is an arithmetic number, because the mean of its divisors is an integer number (2352460110).

Almost surely, 2^110000013420 is an apocalyptic number.

110000013420 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 110000013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169377127920).

110000013420 is an abundant number, since it is smaller than the sum of its proper divisors (228754242420).

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

110000013420 is a wasteful number, since it uses less digits than its factorization.

110000013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 110000013420 its reverse (24310000011), we get a palindrome (134310013431).

The spelling of 110000013420 in words is "one hundred ten billion, thirteen thousand, four hundred twenty".