11011020 has 96 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 2745600.

The previous prime is 11011003. The next prime is 11011031. The reversal of 11011020 is 2011011.

It is a super-2 number, since 2×11011020² = 242485122880800, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108970 + ... + 109070.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 2^11011020 is an apocalyptic number.

11011020 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 11011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

11011020 is an abundant number, since it is smaller than the sum of its proper divisors (21890100).

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

11011020 is a wasteful number, since it uses less digits than its factorization.

11011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11011020 is about 3318.2857019853. The cubic root of 11011020 is about 222.4722517263.

Adding to 11011020 its reverse (2011011), we get a palindrome (13022031).

Subtracting from 11011020 its reverse (2011011), we obtain a palindrome (9000009).

The spelling of 11011020 in words is "eleven million, eleven thousand, twenty".