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11022031020 = 2235711132379101
BaseRepresentation
bin10100100001111011…
…01101100010101100
31001110010220012010010
422100331231202230
5140033114443040
65021412213220
7540064501140
oct122075554254
931403805103
1011022031020
114746716050
12217730a210
13106866c360
14767ba7220
15447991e80
hex290f6d8ac

11022031020 has 768 divisors, whose sum is σ = 44219105280. Its totient is φ = 1976832000.

The previous prime is 11022030989. The next prime is 11022031037. The reversal of 11022031020 is 2013022011.

11022031020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11022030987 and 11022031005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109128970 + ... + 109129070.

It is an arithmetic number, because the mean of its divisors is an integer number (57576960).

Almost surely, 211022031020 is an apocalyptic number.

11022031020 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 11022031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109552640).

11022031020 is an abundant number, since it is smaller than the sum of its proper divisors (33197074260).

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

11022031020 is a wasteful number, since it uses less digits than its factorization.

11022031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11022031020 its reverse (2013022011), we get a palindrome (13035053031).

Subtracting from 11022031020 its reverse (2013022011), we obtain a palindrome (9009009009).

The spelling of 11022031020 in words is "eleven billion, twenty-two million, thirty-one thousand, twenty".