Search a number
-
+
200001314102200 = 235213239932064853
BaseRepresentation
bin101101011110011001101111…
…010010000001101110111000
3222020010221100110100100220021
4231132121233102001232320
5202203310142402232300
61545211200231140224
760061422003101332
oct5536315722015670
9866127313310807
10200001314102200
11587aa098872826
121a521717514674
13877a0735c3950
143756188376452
15181c75e617d1a
hexb5e66f481bb8

200001314102200 has 96 divisors (see below), whose sum is σ = 500981278896000. Its totient is φ = 73815854492160.

The previous prime is 200001314102137. The next prime is 200001314102209. The reversal of 200001314102200 is 2201413100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001314102209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9795027 + ... + 22269826.

It is an arithmetic number, because the mean of its divisors is an integer number (5218554988500).

Almost surely, 2200001314102200 is an apocalyptic number.

200001314102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001314102200 is an abundant number, since it is smaller than the sum of its proper divisors (300979964793800).

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

200001314102200 is a wasteful number, since it uses less digits than its factorization.

200001314102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32067281 (or 32067272 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 200001314102200 its reverse (2201413100002), we get a palindrome (202202727202202).

The spelling of 200001314102200 in words is "two hundred trillion, one billion, three hundred fourteen million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2399 2600 4798 9596 11995 19192 23990 31187 47980 59975 62374 95960 119950 124748 155935 239900 249496 311870 479800 623740 779675 1247480 1559350 3118700 6237400 32064853 64129706 128259412 160324265 256518824 320648530 416843089 641297060 801621325 833686178 1282594120 1603242650 1667372356 2084215445 3206485300 3334744712 4168430890 6412970600 8336861780 10421077225 16673723560 20842154450 41684308900 76923582347 83368617800 153847164694 307694329388 384617911735 615388658776 769235823470 1000006570511 1538471646940 1923089558675 2000013141022 3076943293880 3846179117350 4000026282044 5000032852555 7692358234700 8000052564088 10000065705110 15384716469400 20000131410220 25000164262775 40000262820440 50000328525550 100000657051100 200001314102200