11310000 has 200 divisors, whose sum is σ = 40674480. Its totient is φ = 2688000.

The previous prime is 11309999. The next prime is 11310011. The reversal of 11310000 is 1311.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11310000² = 255832200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389986 + ... + 390014.

Almost surely, 2^11310000 is an apocalyptic number.

11310000 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 11310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337240).

11310000 is an abundant number, since it is smaller than the sum of its proper divisors (29364480).

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

11310000 is a wasteful number, since it uses less digits than its factorization.

11310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 11310000 is about 3363.0343441600. The cubic root of 11310000 is about 224.4678783347.

Adding to 11310000 its reverse (1311), we get a palindrome (11311311).

The spelling of 11310000 in words is "eleven million, three hundred ten thousand".