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11031020 = 225711131929

11031020 has 192 divisors, whose sum is σ = 33868800. Its totient is φ = 2903040.

The previous prime is 11031019. The next prime is 11031023. The reversal of 11031020 is 2013011.

Adding to 11031020 its reverse (2013011), we get a palindrome (13044031).

Subtracting from 11031020 its reverse (2013011), we obtain a square (9018009 = 30032).

It is a junction number, because it is equal to n+sod(n) for n = 11030989 and 11031007.

It is not an unprimeable number, because it can be changed into a prime (11031023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 380366 + ... + 380394.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 211031020 is an apocalyptic number.

11031020 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 11031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11031020 is an abundant number, since it is smaller than the sum of its proper divisors (22837780).

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

11031020 is a wasteful number, since it uses less digits than its factorization.

11031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11031020 is about 3321.2979390594. The cubic root of 11031020 is about 222.6068669819.

The spelling of 11031020 in words is "eleven million, thirty-one thousand, twenty".