11291130 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 2721600.

The previous prime is 11291123. The next prime is 11291131. The reversal of 11291130 is 3119211.

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

It is not an unprimeable number, because it can be changed into a prime (11291131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158995 + ... + 159065.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 2^11291130 is an apocalyptic number.

11291130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11291130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

11291130 is an abundant number, since it is smaller than the sum of its proper divisors (21886470).

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

11291130 is a wasteful number, since it uses less digits than its factorization.

11291130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11291130 is about 3360.2276708580. The cubic root of 11291130 is about 224.3429721538.

The spelling of 11291130 in words is "eleven million, two hundred ninety-one thousand, one hundred thirty".