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11340013000 = 235399111443
BaseRepresentation
bin10101000111110101…
…01101110111001000
31002021022020100101111
422203322231313020
5141211020404000
65113131500104
7551005343251
oct124372556710
932238210344
1011340013000
11489a161678
1222458b7634
1310b94c4b84
147980dbb28
15465853cba
hex2a3eaddc8

11340013000 has 64 divisors (see below), whose sum is σ = 26564728320. Its totient is φ = 4531032000.

The previous prime is 11340012857. The next prime is 11340013021. The reversal of 11340013000 is 31004311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985279 + ... + 996721.

It is an arithmetic number, because the mean of its divisors is an integer number (415073880).

Almost surely, 211340013000 is an apocalyptic number.

11340013000 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 11340013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282364160).

11340013000 is an abundant number, since it is smaller than the sum of its proper divisors (15224715320).

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

11340013000 is a wasteful number, since it uses less digits than its factorization.

11340013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11340013000 its reverse (31004311), we get a palindrome (11371017311).

The spelling of 11340013000 in words is "eleven billion, three hundred forty million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 991 1000 1982 3964 4955 7928 9910 11443 19820 22886 24775 39640 45772 49550 57215 91544 99100 114430 123875 198200 228860 247750 286075 457720 495500 572150 991000 1144300 1430375 2288600 2860750 5721500 11340013 11443000 22680026 45360052 56700065 90720104 113400130 226800260 283500325 453600520 567000650 1134001300 1417501625 2268002600 2835003250 5670006500 11340013000