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14131320200 = 2352401176201
BaseRepresentation
bin11010010100100101…
…01101010110001000
31100110211120110000122
431022102231112020
5212420104221300
610254123122412
71010121145154
oct151222552610
940424513018
1014131320200
115aa1842028
1228a4673408
13144289a53a
14980adc064
1557a922c85
hex34a4ad588

14131320200 has 48 divisors (see below), whose sum is σ = 32937439860. Its totient is φ = 5638400000.

The previous prime is 14131320197. The next prime is 14131320211. The reversal of 14131320200 is 202313141.

It can be written as a sum of positive squares in 6 ways, for example, as 7498520836 + 6632799364 = 86594^2 + 81442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7901 + ... + 168300.

Almost surely, 214131320200 is an apocalyptic number.

14131320200 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 14131320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468719930).

14131320200 is an abundant number, since it is smaller than the sum of its proper divisors (18806119660).

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

14131320200 is a wasteful number, since it uses less digits than its factorization.

14131320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176618 (or 176609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 14131320200 its reverse (202313141), we get a palindrome (14333633341).

The spelling of 14131320200 in words is "fourteen billion, one hundred thirty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 3208 4010 8020 10025 16040 20050 40100 80200 176201 352402 704804 881005 1409608 1762010 3524020 4405025 7048040 8810050 17620100 35240200 70656601 141313202 282626404 353283005 565252808 706566010 1413132020 1766415025 2826264040 3532830050 7065660100 14131320200