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11123300021100 = 22352376717983557
BaseRepresentation
bin1010000111011101100001…
…0110001011001101101100
31110101101011220101201201120
42201313120112023031230
52424221004301133400
635353550134540540
72225426513106441
oct241673026131554
943341156351646
1011123300021100
1135a94019727a3
1212b792a807750
13628bcc1ca217
142a6528ca19c8
15144521218ca0
hexa1dd858b36c

11123300021100 has 288 divisors, whose sum is σ = 33734383361280. Its totient is φ = 2827053757440.

The previous prime is 11123300021087. The next prime is 11123300021107. The reversal of 11123300021100 is 112000332111.

It is a happy number.

11123300021100 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 11123300021100.

It is not an unprimeable number, because it can be changed into a prime (11123300021107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133080522 + ... + 133164078.

It is an arithmetic number, because the mean of its divisors is an integer number (117133275560).

Almost surely, 211123300021100 is an apocalyptic number.

11123300021100 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 11123300021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867191680640).

11123300021100 is an abundant number, since it is smaller than the sum of its proper divisors (22611083340180).

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

11123300021100 is a wasteful number, since it uses less digits than its factorization.

11123300021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83857 (or 83850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11123300021100 its reverse (112000332111), we get a palindrome (11235300353211).

The spelling of 11123300021100 in words is "eleven trillion, one hundred twenty-three billion, three hundred million, twenty-one thousand, one hundred".