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11033003000 = 235314974047
BaseRepresentation
bin10100100011001111…
…00100001111111000
31001110220112121211202
422101213210033320
5140043422044000
65022443313332
7540256656335
oct122147441770
931426477752
1011033003000
11475192a4a8
12217ab1b848
13106aa11456
1476942198c
1544890cdd5
hex2919e43f8

11033003000 has 64 divisors (see below), whose sum is σ = 25990848000. Its totient is φ = 4383523200.

The previous prime is 11033002997. The next prime is 11033003017. The reversal of 11033003000 is 30033011.

11033003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 111977 + ... + 186023.

It is an arithmetic number, because the mean of its divisors is an integer number (406107000).

Almost surely, 211033003000 is an apocalyptic number.

11033003000 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 11033003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995424000).

11033003000 is an abundant number, since it is smaller than the sum of its proper divisors (14957845000).

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

11033003000 is a wasteful number, since it uses less digits than its factorization.

11033003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74217 (or 74203 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 11033003000 its reverse (30033011), we get a palindrome (11063036011).

The spelling of 11033003000 in words is "eleven billion, thirty-three million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 14900 18625 29800 37250 74047 74500 148094 149000 296188 370235 592376 740470 1480940 1851175 2961880 3702350 7404700 9255875 11033003 14809400 18511750 22066006 37023500 44132012 55165015 74047000 88264024 110330030 220660060 275825075 441320120 551650150 1103300300 1379125375 2206600600 2758250750 5516501500 11033003000