4113023100 has 288 divisors, whose sum is σ = 13024999680. Its totient is φ = 998645760.

The previous prime is 4113023041. The next prime is 4113023111. The reversal of 4113023100 is 13203114.

It is a super-2 number, since 2×4113023100² = 33833918042267220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4113023100.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 23774614 + ... + 23774786.

Almost surely, 2^4113023100 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 4113023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512499840).

4113023100 is an abundant number, since it is smaller than the sum of its proper divisors (8911976580).

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

4113023100 is a wasteful number, since it uses less digits than its factorization.

4113023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4113023100 is about 64132.8550744468. The cubic root of 4113023100 is about 1602.2134858673.

Adding to 4113023100 its reverse (13203114), we get a palindrome (4126226214).

The spelling of 4113023100 in words is "four billion, one hundred thirteen million, twenty-three thousand, one hundred".