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11443000305 = 35111737310937
BaseRepresentation
bin10101010100000111…
…00101001111110001
31002112111000122102010
422222003211033301
5141413402002210
65131251113133
7553365616632
oct125203451761
932474018363
1011443000305
114942303550
1222742a27a9
1311049432c9
147a7a69889
1546e8e8920
hex2aa0e53f1

11443000305 has 64 divisors (see below), whose sum is σ = 21206769408. Its totient is φ = 5207285760.

The previous prime is 11443000291. The next prime is 11443000313. The reversal of 11443000305 is 50300034411.

11443000305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11443000305 - 212 = 11442996209 is a prime.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 1040797 + ... + 1051733.

It is an arithmetic number, because the mean of its divisors is an integer number (331355772).

Almost surely, 211443000305 is an apocalyptic number.

11443000305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11443000305 is a deficient number, since it is larger than the sum of its proper divisors (9763769103).

11443000305 is a wasteful number, since it uses less digits than its factorization.

11443000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 11443000305 its reverse (50300034411), we get a palindrome (61743034716).

The spelling of 11443000305 in words is "eleven billion, four hundred forty-three million, three hundred five", and thus it is an aban number.

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 373 561 935 1119 1865 2805 4103 5595 6341 10937 12309 19023 20515 31705 32811 54685 61545 69751 95115 120307 164055 185929 209253 348755 360921 557787 601535 929645 1046265 1804605 2045219 2788935 4079501 6135657 10226095 12238503 20397505 30678285 44874511 61192515 69351517 134623533 208054551 224372555 346757585 673117665 762866687 1040272755 2288600061 3814333435 11443000305