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11222221000200 = 23352720111328671
BaseRepresentation
bin1010001101001110000001…
…1111110000111000001000
31110201211111212200010120020
42203103200133300320020
52432331102034001300
635511230034500440
72235531045416430
oct243234037607010
943654455603506
1011222221000200
113637354212491
121312b37134720
136353352c2c52
142ab2308c52c0
15146db08638a0
hexa34e07f0e08

11222221000200 has 192 divisors, whose sum is σ = 39778526392320. Its totient is φ = 2563801632000.

The previous prime is 11222221000169. The next prime is 11222221000201. The reversal of 11222221000200 is 200012222211.

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 11222221000200.

It is not an unprimeable number, because it can be changed into a prime (11222221000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7781865 + ... + 9110535.

It is an arithmetic number, because the mean of its divisors is an integer number (207179824960).

Almost surely, 211222221000200 is an apocalyptic number.

11222221000200 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 11222221000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889263196160).

11222221000200 is an abundant number, since it is smaller than the sum of its proper divisors (28556305392120).

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

11222221000200 is a wasteful number, since it uses less digits than its factorization.

11222221000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330708 (or 1330699 counting only the distinct ones).

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

Adding to 11222221000200 its reverse (200012222211), we get a palindrome (11422233222411).

The spelling of 11222221000200 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred", and thus it is an aban number.