Search a number
-
+
200101221212200 = 235271112993585793
BaseRepresentation
bin101101011111110110110010…
…001101011010000000101000
3222020111111020011012102000121
4231133312302031122000220
5202211424300112242300
61545325122035213024
760101556541366450
oct5537666215320050
9866444204172017
10200101221212200
11588384a6823230
121a538b5a147174
138786605aabb99
14375ad44d36d60
15182015a60481a
hexb5fdb235a028

200101221212200 has 96 divisors (see below), whose sum is σ = 580033669844160. Its totient is φ = 62369211801600.

The previous prime is 200101221212177. The next prime is 200101221212237. The reversal of 200101221212200 is 2212122101002.

It is a happy number.

200101221212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2001012212122002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6496777497 + ... + 6496808296.

It is an arithmetic number, because the mean of its divisors is an integer number (6042017394210).

Almost surely, 2200101221212200 is an apocalyptic number.

200101221212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101221212200 is an abundant number, since it is smaller than the sum of its proper divisors (379932448631960).

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

200101221212200 is a wasteful number, since it uses less digits than its factorization.

200101221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12993585827 (or 12993585818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200101221212200 its reverse (2212122101002), we get a palindrome (202313343313202).

The spelling of 200101221212200 in words is "two hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 12993585793 25987171586 51974343172 64967928965 90955100551 103948686344 129935857930 142929443723 181910201102 259871715860 285858887446 324839644825 363820402204 454775502755 519743431720 571717774892 649679289650 714647218615 727640804408 909551005510 1000506106061 1143435549784 1299358579300 1429294437230 1819102011020 2001012212122 2273877513775 2598717158600 2858588874460 3573236093075 3638204022040 4002024424244 4547755027550 5002530530305 5717177748920 7146472186150 8004048848488 9095510055100 10005061060610 14292944372300 18191020110200 20010122121220 25012652651525 28585888744600 40020244242440 50025305303050 100050610606100 200101221212200