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11020221100 = 225271753101173
BaseRepresentation
bin10100100001101101…
…10011101010101100
31001110000111020101001
422100312303222230
5140032134033400
65021305330044
7540043222330
oct122066635254
931400436331
1011020221100
11474569a249
122176796924
1310681875b5
147678557c0
15447735a6a
hex290db3aac

11020221100 has 288 divisors, whose sum is σ = 29947833216. Its totient is φ = 3434496000.

The previous prime is 11020221097. The next prime is 11020221137. The reversal of 11020221100 is 112202011.

11020221100 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 (10).

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 95 ways as a sum of consecutive naturals, for example, 63700614 + ... + 63700786.

It is an arithmetic number, because the mean of its divisors is an integer number (103985532).

Almost surely, 211020221100 is an apocalyptic number.

11020221100 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 11020221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973916608).

11020221100 is an abundant number, since it is smaller than the sum of its proper divisors (18927612116).

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

11020221100 is a wasteful number, since it uses less digits than its factorization.

11020221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11020221100 its reverse (112202011), we get a palindrome (11132423111).

The spelling of 11020221100 in words is "eleven billion, twenty million, two hundred twenty-one thousand, one hundred".