Search a number
-
+
12200331003300 = 223252111232356667
BaseRepresentation
bin1011000110001001110001…
…1001010100010110100100
31121012100012001012111110100
42301202130121110112210
53044342234214101200
641540431002424100
72366305401313506
oct261423431242644
947170161174410
1012200331003300
113984149875750
12145060a202030
136a66424733ab
143026dba23d76
1516255a479d00
hexb189c6545a4

12200331003300 has 108 divisors (see below), whose sum is σ = 41717737925136. Its totient is φ = 2957655998400.

The previous prime is 12200331003271. The next prime is 12200331003331. The reversal of 12200331003300 is 330013300221.

12200331003300 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 331 + 0 + 0 + 330 + 0 = 666.

It is a super-2 number, since 2×122003310033002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 616168434 + ... + 616188233.

Almost surely, 212200331003300 is an apocalyptic number.

12200331003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200331003300 is an abundant number, since it is smaller than the sum of its proper divisors (29517406921836).

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

12200331003300 is a wasteful number, since it uses less digits than its factorization.

12200331003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232356698 (or 1232356688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12200331003300 its reverse (330013300221), we get a palindrome (12530344303521).

The spelling of 12200331003300 in words is "twelve trillion, two hundred billion, three hundred thirty-one million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1232356667 2464713334 3697070001 4929426668 6161783335 7394140002 11091210003 12323566670 13555923337 14788280004 18485350005 22182420006 24647133340 27111846674 30808916675 36970700010 40667770011 44364840012 54223693348 55456050015 61617833350 67779616685 73941400020 81335540022 92426750025 110912100030 122003310033 123235666700 135559233370 162671080044 184853500050 203338850055 221824200060 244006620066 271118466740 277280250075 338898083425 369707000100 406677700110 488013240132 554560500150 610016550165 677796166850 813355400220 1016694250275 1109121000300 1220033100330 1355592333700 2033388500550 2440066200660 3050082750825 4066777001100 6100165501650 12200331003300