3000114100 has 108 divisors (see below), whose sum is σ = 7002372132. Its totient is φ = 1111808000.

The previous prime is 3000114053. The next prime is 3000114101. The reversal of 3000114100 is 14110003.

It is a happy number.

3000114100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 6492304 + 2993621796 = 2548^2 + 54714^2 .

It is a super-2 number, since 2×3000114100² = 18001369226037620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000114101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17341614 + ... + 17341786.

It is an arithmetic number, because the mean of its divisors is an integer number (64836779).

Almost surely, 2^3000114100 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 3000114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501186066).

3000114100 is an abundant number, since it is smaller than the sum of its proper divisors (4002258032).

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

3000114100 is a wasteful number, since it uses less digits than its factorization.

3000114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3000114100 is about 54773.2973263432. The cubic root of 3000114100 is about 1442.2678545952.

Adding to 3000114100 its reverse (14110003), we get a palindrome (3014224103).

The spelling of 3000114100 in words is "three billion, one hundred fourteen thousand, one hundred".