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1109116008000 = 2632537112131399
BaseRepresentation
bin10000001000111100011…
…101110011011001000000
310221000211012102221210200
4100020330131303121000
5121132432144224000
62205304301125200
7143062633342230
oct20107435633100
93830735387720
101109116008000
11398412087800
1215ab54859800
13807875b5450
143b978079cc0
151dcb5e45500
hex1023c773640

1109116008000 has 2016 divisors, whose sum is σ = 5371175846400. Its totient is φ = 212585472000.

The previous prime is 1109116007983. The next prime is 1109116008001. The reversal of 1109116008000 is 8006119011.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (1109116008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 792791301 + ... + 792792699.

Almost surely, 21109116008000 is an apocalyptic number.

1109116008000 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 1109116008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685587923200).

1109116008000 is an abundant number, since it is smaller than the sum of its proper divisors (4262059838400).

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

1109116008000 is a wasteful number, since it uses less digits than its factorization.

1109116008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 1109116008000 in words is "one trillion, one hundred nine billion, one hundred sixteen million, eight thousand".