Search a number
-
+
11220020002200 = 23352173359327479
BaseRepresentation
bin1010001101000101110101…
…0011100111110110011000
31110201121211111002211220210
42203101131103213312120
52432312100110032300
635510223411451120
72235422361302562
oct243213523476630
943647744084823
1011220020002200
113636424871079
121312621bb6aa0
13635074302279
142ab0a2468332
15146cd24eb050
hexa345d4e7d98

11220020002200 has 192 divisors, whose sum is σ = 36839142144000. Its totient is φ = 2815158077440.

The previous prime is 11220020002141. The next prime is 11220020002297. The reversal of 11220020002200 is 220002002211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34098061 + ... + 34425539.

It is an arithmetic number, because the mean of its divisors is an integer number (191870532000).

Almost surely, 211220020002200 is an apocalyptic number.

11220020002200 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 11220020002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419571072000).

11220020002200 is an abundant number, since it is smaller than the sum of its proper divisors (25619122141800).

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

11220020002200 is a wasteful number, since it uses less digits than its factorization.

11220020002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330874 (or 330865 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11220020002200 its reverse (220002002211), we get a palindrome (11440022004411).

The spelling of 11220020002200 in words is "eleven trillion, two hundred twenty billion, twenty million, two thousand, two hundred".