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11034443000 = 235377512099
BaseRepresentation
bin10100100011011010…
…00011110011111000
31001111000020210011002
422101231003303320
5140044304134000
65022534224132
7540305134520
oct122155036370
931430223132
1011034443000
114752723389
12217b4b5048
13106b0c6a19
147696b8680
15448ae48d5
hex291b43cf8

11034443000 has 128 divisors (see below), whose sum is σ = 29562624000. Its totient is φ = 3776400000.

The previous prime is 11034442981. The next prime is 11034443009. The reversal of 11034443000 is 34443011.

It is a happy number.

11034443000 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034443009) 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 31 ways as a sum of consecutive naturals, for example, 5255951 + ... + 5258049.

It is an arithmetic number, because the mean of its divisors is an integer number (230958000).

Almost surely, 211034443000 is an apocalyptic number.

11034443000 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 11034443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781312000).

11034443000 is an abundant number, since it is smaller than the sum of its proper divisors (18528181000).

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

11034443000 is a wasteful number, since it uses less digits than its factorization.

11034443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11034443000 its reverse (34443011), we get a palindrome (11068886011).

The spelling of 11034443000 in words is "eleven billion, thirty-four million, four hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 751 875 1000 1400 1502 1750 2099 3004 3500 3755 4198 5257 6008 7000 7510 8396 10495 10514 14693 15020 16792 18775 20990 21028 26285 29386 30040 37550 41980 42056 52475 52570 58772 73465 75100 83960 93875 104950 105140 117544 131425 146930 150200 187750 209900 210280 262375 262850 293860 367325 375500 419800 524750 525700 587720 657125 734650 751000 1049500 1051400 1314250 1469300 1576349 1836625 2099000 2628500 2938600 3152698 3673250 5257000 6305396 7346500 7881745 11034443 12610792 14693000 15763490 22068886 31526980 39408725 44137772 55172215 63053960 78817450 88275544 110344430 157634900 197043625 220688860 275861075 315269800 394087250 441377720 551722150 788174500 1103444300 1379305375 1576349000 2206888600 2758610750 5517221500 11034443000