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21200212200200 = 23521118153240111
BaseRepresentation
bin1001101001000000011110…
…00111100000101100001000
32210001201110020110111120212
410310200033013200230020
510234321013310401300
6113031124254540252
74315444010264255
oct464401707405410
983051406414525
1021200212200200
116833a6110a2a0
1224648b0207688
13baa22c837b97
1453414aa2242c
1526b6ed4da935
hex13480f1e0b08

21200212200200 has 96 divisors (see below), whose sum is σ = 54068528142720. Its totient is φ = 7666575840000.

The previous prime is 21200212200187. The next prime is 21200212200221. The reversal of 21200212200200 is 200221200212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26221856 + ... + 27018255.

It is an arithmetic number, because the mean of its divisors is an integer number (563213834820).

Almost surely, 221200212200200 is an apocalyptic number.

21200212200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200212200200 is an abundant number, since it is smaller than the sum of its proper divisors (32868315942520).

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

21200212200200 is a wasteful number, since it uses less digits than its factorization.

21200212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53240319 (or 53240310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21200212200200 its reverse (200221200212), we get a palindrome (21400433400412).

It can be divided in two parts, 21200212 and 200200, that added together give a palindrome (21400412).

The spelling of 21200212200200 in words is "twenty-one trillion, two hundred billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 181 200 220 275 362 440 550 724 905 1100 1448 1810 1991 2200 3620 3982 4525 7240 7964 9050 9955 15928 18100 19910 36200 39820 49775 79640 99550 199100 398200 53240111 106480222 212960444 266200555 425920888 532401110 585641221 1064802220 1171282442 1331002775 2129604440 2342564884 2662005550 2928206105 4685129768 5324011100 5856412210 9636460091 10648022200 11712824420 14641030525 19272920182 23425648840 29282061050 38545840364 48182300455 58564122100 77091680728 96364600910 106001061001 117128244200 192729201820 212002122002 240911502275 385458403640 424004244004 481823004550 530005305005 848008488008 963646009100 1060010610010 1927292018200 2120021220020 2650026525025 4240042440040 5300053050050 10600106100100 21200212200200