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200100013200 = 24335218527779
BaseRepresentation
bin1011101001011011100…
…0111110010010010000
3201010111022110212211000
42322112320332102100
511234301100410300
6231531421422000
720312444022453
oct2722670762220
9633438425730
10200100013200
117795327163a
123294510a900
1315b3bc68999
1499834b749a
15531212cc00
hex2e96e3e490

200100013200 has 120 divisors (see below), whose sum is σ = 712207863200. Its totient is φ = 53360000640.

The previous prime is 200100013199. The next prime is 200100013213. The reversal of 200100013200 is 2310001002.

It is a happy number.

200100013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 9253090 + ... + 9274689.

Almost surely, 2200100013200 is an apocalyptic number.

200100013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100013200 is an abundant number, since it is smaller than the sum of its proper divisors (512107850000).

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

200100013200 is a wasteful number, since it uses less digits than its factorization.

200100013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18527806 (or 18527789 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 200100013200 its reverse (2310001002), we get a palindrome (202410014202).

The spelling of 200100013200 in words is "two hundred billion, one hundred million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 18527779 37055558 55583337 74111116 92638895 111166674 148222232 166750011 185277790 222333348 277916685 296444464 333500022 370555580 444666696 463194475 500250033 555833370 667000044 741111160 833750055 889333392 926388950 1000500066 1111666740 1334000088 1389583425 1482222320 1667500110 1852777900 2001000132 2223333480 2501250165 2668000176 2779166850 3335000220 3705555800 4002000264 4168750275 4446666960 5002500330 5558333700 6670000440 7411111600 8004000528 8337500550 10005000660 11116667400 12506250825 13340000880 16675001100 20010001320 22233334800 25012501650 33350002200 40020002640 50025003300 66700004400 100050006600 200100013200