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11000110000 = 24541129091
BaseRepresentation
bin10100011111010100…
…00101101110110000
31001101121122111010111
422033222011232300
5140012012010000
65015310311104
7536410251355
oct121752055660
931347574114
1011000110000
114735303500
12216bab8494
131063c65739
14764cdc62c
15445ab1cba
hex28fa85bb0

11000110000 has 150 divisors (see below), whose sum is σ = 29276812796. Its totient is φ = 3999600000.

The previous prime is 11000109977. The next prime is 11000110003. The reversal of 11000110000 is 1100011.

Adding to 11000110000 its reverse (1100011), we get a palindrome (11001210011).

11000110000 divided by its reverse (1100011) gives a 4-th power (10000 = 104).

It can be divided in two parts, 1 and 1000110000, that added together give a palindrome (1000110001).

11000110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11000110003) 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 29 ways as a sum of consecutive naturals, for example, 1205455 + ... + 1214545.

Almost surely, 211000110000 is an apocalyptic number.

11000110000 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 11000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638406398).

11000110000 is an abundant number, since it is smaller than the sum of its proper divisors (18276702796).

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

11000110000 is an equidigital number, since it uses as much as digits as its factorization.

11000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9109 counting only the distinct ones).

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

The spelling of 11000110000 in words is "eleven billion, one hundred ten thousand".