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11109243332880 = 243257111917236121
BaseRepresentation
bin1010000110101001001010…
…0000001010100100010000
31110100000220021020222112100
42201222102200022210100
52424003212243123010
635343303235200400
72224421256166230
oct241522240124420
943300807228470
1011109243332880
1135a34492758a0
1212b5067146100
1362779bc30924
142a599406dcc0
15143e9c1392c0
hexa1a9280a910

11109243332880 has 960 divisors, whose sum is σ = 48999100999680. Its totient is φ = 2185292390400.

The previous prime is 11109243332879. The next prime is 11109243332917. The reversal of 11109243332880 is 8823334290111.

It is a happy number.

11109243332880 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 9 + 243 + 3 + 328 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1814936220 + ... + 1814942340.

It is an arithmetic number, because the mean of its divisors is an integer number (51040730208).

Almost surely, 211109243332880 is an apocalyptic number.

11109243332880 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 11109243332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24499550499840).

11109243332880 is an abundant number, since it is smaller than the sum of its proper divisors (37889857666800).

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

11109243332880 is a wasteful number, since it uses less digits than its factorization.

11109243332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11109243332880 in words is "eleven trillion, one hundred nine billion, two hundred forty-three million, three hundred thirty-two thousand, eight hundred eighty".