6411130100 has 144 divisors (see below), whose sum is σ = 15723993600. Its totient is φ = 2254417920.

The previous prime is 6411130093. The next prime is 6411130123. The reversal of 6411130100 is 10311146.

It is a super-2 number, since 2×6411130100² = 82205178318252020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 2356541 + ... + 2359259.

It is an arithmetic number, because the mean of its divisors is an integer number (109194400).

Almost surely, 2^6411130100 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 6411130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861996800).

6411130100 is an abundant number, since it is smaller than the sum of its proper divisors (9312863500).

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

6411130100 is a wasteful number, since it uses less digits than its factorization.

6411130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 6411130100 is about 80069.5329073425. The cubic root of 6411130100 is about 1857.7111882174.

Adding to 6411130100 its reverse (10311146), we get a palindrome (6421441246).

The spelling of 6411130100 in words is "six billion, four hundred eleven million, one hundred thirty thousand, one hundred".