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11222210002200 = 23352157351133931
BaseRepresentation
bin1010001101001101111111…
…0101110011110100011000
31110201211111002222101010220
42203103133311303310120
52432331041230032300
635511225003040040
72235530553062331
oct243233765636430
943654432871126
1011222210002200
113637348a9052a
121312b33510020
13635332c42062
142ab22d261288
15146dae8deda0
hexa34dfd73d18

11222210002200 has 192 divisors, whose sum is σ = 35021439793920. Its totient is φ = 2972593728000.

The previous prime is 11222210002163. The next prime is 11222210002217. The reversal of 11222210002200 is 220001222211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11222210002200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330719235 + ... + 330753165.

It is an arithmetic number, because the mean of its divisors is an integer number (182403332260).

Almost surely, 211222210002200 is an apocalyptic number.

11222210002200 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 11222210002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510719896960).

11222210002200 is an abundant number, since it is smaller than the sum of its proper divisors (23799229791720).

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

11222210002200 is a wasteful number, since it uses less digits than its factorization.

11222210002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37618 (or 37609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11222210002200 its reverse (220001222211), we get a palindrome (11442211224411).

The spelling of 11222210002200 in words is "eleven trillion, two hundred twenty-two billion, two hundred ten million, two thousand, two hundred".