Search a number
-
+
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".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9091 9680 10000 11000 12100 13750 15125 18182 22000 24200 27500 30250 36364 45455 48400 55000 60500 72728 75625 90910 100001 110000 121000 145456 151250 181820 200002 227275 242000 302500 363640 400004 454550 500005 605000 727280 800008 909100 1000010 1100011 1136375 1210000 1600016 1818200 2000020 2200022 2272750 2500025 3636400 4000040 4400044 4545500 5000050 5500055 5681875 8000080 8800088 9091000 10000100 11000110 11363750 12500125 17600176 18182000 20000200 22000220 22727500 25000250 27500275 40000400 44000440 45455000 50000500 55000550 62500625 88000880 90910000 100001000 110001100 125001250 137501375 200002000 220002200 250002500 275002750 440004400 500005000 550005500 687506875 1000010000 1100011000 1375013750 2200022000 2750027500 5500055000 11000110000