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11012222200200 = 23352133121639013
BaseRepresentation
bin1010000000111111101110…
…0101111010100110001000
31102222202110200212210000220
42200033323211322212020
52420411012340401300
635230540043430040
72214415063156134
oct240177345724610
942882420783026
1011012222200200
113566291386911
12129a2aab25320
1361b5a9616890
142a0dcc8b43c4
151416be6bbda0
hexa03fb97a988

11012222200200 has 576 divisors, whose sum is σ = 38225364045120. Its totient is φ = 2606876006400.

The previous prime is 11012222200153. The next prime is 11012222200201. The reversal of 11012222200200 is 200222221011.

11012222200200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11012222200200.

It is not an unprimeable number, because it can be changed into a prime (11012222200201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1221810894 + ... + 1221819906.

It is an arithmetic number, because the mean of its divisors is an integer number (66363479245).

Almost surely, 211012222200200 is an apocalyptic number.

11012222200200 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 11012222200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112682022560).

11012222200200 is an abundant number, since it is smaller than the sum of its proper divisors (27213141844920).

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

11012222200200 is a wasteful number, since it uses less digits than its factorization.

11012222200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9230 counting only the distinct ones).

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

Adding to 11012222200200 its reverse (200222221011), we get a palindrome (11212444421211).

The spelling of 11012222200200 in words is "eleven trillion, twelve billion, two hundred twenty-two million, two hundred thousand, two hundred".