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11222013002200 = 235271113241105167
BaseRepresentation
bin1010001101001101010000…
…0110010100000111011000
31110201210222101021201221121
42203103110012110013120
52432330140312032300
635511153244415024
72235522641441320
oct243232406240730
943653871251847
1011222013002200
113637257867510
121312a99547474
13635301198400
142ab211020280
15146d9c47981a
hexa34d41941d8

11222013002200 has 576 divisors, whose sum is σ = 36083460510720. Its totient is φ = 3149932032000.

The previous prime is 11222013002191. The next prime is 11222013002227. The reversal of 11222013002200 is 220031022211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106654017 + ... + 106759183.

It is an arithmetic number, because the mean of its divisors is an integer number (62644896720).

Almost surely, 211222013002200 is an apocalyptic number.

11222013002200 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 11222013002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18041730255360).

11222013002200 is an abundant number, since it is smaller than the sum of its proper divisors (24861447508520).

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

11222013002200 is a wasteful number, since it uses less digits than its factorization.

11222013002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105268 (or 105246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11222013002200 its reverse (220031022211), we get a palindrome (11442044024411).

The spelling of 11222013002200 in words is "eleven trillion, two hundred twenty-two billion, thirteen million, two thousand, two hundred".