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12233133202230 = 234579191172577
BaseRepresentation
bin1011001000000011111110…
…0011110001101100110110
31121022110212002022212010000
42302000333203301230312
53100411424044432410
642003453535412130
72401546305356523
oct262007743615466
947273762285100
1012233133202230
113997051859266
121456a43684046
136a976c255565
143041302a614a
1516332a0c4dc0
hexb203f8f1b36

12233133202230 has 80 divisors (see below), whose sum is σ = 33309909990720. Its totient is φ = 3220875560448.

The previous prime is 12233133202211. The next prime is 12233133202243. The reversal of 12233133202230 is 3220233133221.

12233133202230 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 313 + 320 + 2 + 23 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12233133202194 and 12233133202203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95522299 + ... + 95650278.

It is an arithmetic number, because the mean of its divisors is an integer number (416373874884).

Almost surely, 212233133202230 is an apocalyptic number.

12233133202230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12233133202230 is an abundant number, since it is smaller than the sum of its proper divisors (21076776788490).

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

12233133202230 is a wasteful number, since it uses less digits than its factorization.

12233133202230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191172675 (or 191172666 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12233133202230 its reverse (3220233133221), we get a palindrome (15453366335451).

The spelling of 12233133202230 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 270 395 405 474 711 790 810 1185 1422 2133 2370 3555 4266 6399 7110 10665 12798 21330 31995 63990 191172577 382345154 573517731 955862885 1147035462 1720553193 1911725770 2867588655 3441106386 5161659579 5735177310 8602765965 10323319158 15102633583 15484978737 17205531930 25808297895 30205267166 30969957474 45307900749 51616595790 75513167915 77424893685 90615801498 135923702247 151026335830 154849787370 226539503745 271847404494 407771106741 453079007490 679618511235 815542213482 1223313320223 1359237022470 2038855533705 2446626640446 4077711067410 6116566601115 12233133202230