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11000000110000 = 245411175882353
BaseRepresentation
bin1010000000010010001100…
…0110010101110110110000
31102221120220220212021012111
42200010203012111312300
52420211000012010000
635221155201535104
72213503154132116
oct240044306256660
942846826767174
1011000000110000
11356108a324620
121297a59944494
1361a3ac462145
142a058d5a3ab6
151412066cbcba
hexa0123195db0

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 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 (11000000110003) 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, 1071177 + ... + 4811176.

Almost surely, 211000000110000 is an apocalyptic number.

11000000110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

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

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

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

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