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11066003000 = 235313851231
BaseRepresentation
bin10100100111001010…
…11100111000111000
31001120012122012022222
422103211130320320
5140130344044000
65030022503212
7541140321263
oct122345347070
931505565288
1011066003000
114769519928
122189b94b08
1310747c6a90
1476d971cda
1544b77aa85
hex29395ce38

11066003000 has 64 divisors (see below), whose sum is σ = 27886360320. Its totient is φ = 4085904000.

The previous prime is 11066002999. The next prime is 11066003017. The reversal of 11066003000 is 30066011.

11066003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11066003000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 412616 + ... + 438615.

It is an arithmetic number, because the mean of its divisors is an integer number (435724380).

Almost surely, 211066003000 is an apocalyptic number.

11066003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11066003000 is an abundant number, since it is smaller than the sum of its proper divisors (16820357320).

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

11066003000 is a wasteful number, since it uses less digits than its factorization.

11066003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851265 (or 851251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11066003000 its reverse (30066011), we get a palindrome (11096069011).

The spelling of 11066003000 in words is "eleven billion, sixty-six million, three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 851231 1702462 3404924 4256155 6809848 8512310 11066003 17024620 21280775 22132006 34049240 42561550 44264012 55330015 85123100 88528024 106403875 110660030 170246200 212807750 221320060 276650075 425615500 442640120 553300150 851231000 1106600300 1383250375 2213200600 2766500750 5533001500 11066003000