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11000000110000 = 245411175882353

11000000110000 has 200 divisors, whose sum is σ = 30762217301904. Its totient is φ = 3764705280000.

The previous prime is 11000000109997. The next prime is 11000000110003. The reversal of 11000000110000 is 1100000011.

Adding to 11000000110000 its reverse (1100000011), we get a palindrome (11001100110011).

11000000110000 divided by its reverse (1100000011) gives a 4-th power (10000 = 104).

It can be divided in two parts, 11000000 and 110000, that multiplied together give a square (1210000000000 = 11000002).

It is an interprime number because it is at equal distance from previous prime (11000000109997) and next prime (11000000110003).



It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000000110003) by changing a digit.


It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1071177 + ... + 4811176.

Almost surely, 211000000110000 is an apocalyptic number.


It is an amenable number.

11000000110000 is an abundant number, since it is smaller than the sum of its proper divisors (19762217191904).


11000000110000 is a wasteful number, since it uses less digits than its factorization.

11000000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882409 (or 5882388 counting only the distinct ones).


The spelling of 11000000110000 in words is "eleven trillion, one hundred ten thousand".