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110000110000 = 2454111019901
BaseRepresentation
bin110011001110010000…
…1000111100110110000
3101111221002121120021011
41212130201013212300
53300240012010000
6122311112040304
710642622336104
oct1463441074660
9344832546234
10110000110000
1142718215820
121939a993094
13a4b0537cb1
145477211904
152cdc11a2ba
hex199c8479b0

110000110000 has 200 divisors, whose sum is σ = 293438482128. Its totient is φ = 39600000000.

The previous prime is 110000109889. The next prime is 110000110009. The reversal of 110000110000 is 11000011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110000110009) 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 39 ways as a sum of consecutive naturals, for example, 11105050 + ... + 11114950.

Almost surely, 2110000110000 is an apocalyptic number.

110000110000 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 110000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146719241064).

110000110000 is an abundant number, since it is smaller than the sum of its proper divisors (183438372128).

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

110000110000 is a wasteful number, since it uses less digits than its factorization.

110000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 110000110000 its reverse (11000011), we get a palindrome (110011110011).

110000110000 divided by its reverse (11000011) gives a 4-th power (10000 = 104).

The spelling of 110000110000 in words is "one hundred ten billion, one hundred ten thousand".