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11020020111100 = 225271113221349747
BaseRepresentation
bin1010000001011100110001…
…1000100101011011111100
31110000111121011000200210201
42200113030120211123330
52421023000122023400
635234305524013244
72215112241261220
oct240271430453374
943014534020721
1011020020111100
113569623074780
12129b906531224
1361c250020840
142a152c3b4780
151419c909906a
hexa05cc6256fc

11020020111100 has 288 divisors, whose sum is σ = 32122715014656. Its totient is φ = 3169098777600.

The previous prime is 11020020111073. The next prime is 11020020111109. The reversal of 11020020111100 is 111102002011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020020111109) 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, 221496427 + ... + 221546173.

It is an arithmetic number, because the mean of its divisors is an integer number (111537204912).

Almost surely, 211020020111100 is an apocalyptic number.

11020020111100 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 11020020111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061357507328).

11020020111100 is an abundant number, since it is smaller than the sum of its proper divisors (21102694903556).

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

11020020111100 is a wasteful number, since it uses less digits than its factorization.

11020020111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52005 (or 51998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11020020111100 its reverse (111102002011), we get a palindrome (11131122113111).

The spelling of 11020020111100 in words is "eleven trillion, twenty billion, twenty million, one hundred eleven thousand, one hundred".