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13034444012200 = 23521337135493181
BaseRepresentation
bin1011110110101101000101…
…1001111011101010101000
31201011002011210222122100001
42331223101121323222220
53202024020131342300
643415535123152344
72513464450024132
oct275532131735250
951132153878301
1013034444012200
114175970923986
1215661b4b156b4
137371b1953320
14330c28764052
151790c84e016a
hexbdad167baa8

13034444012200 has 96 divisors (see below), whose sum is σ = 33518303363160. Its totient is φ = 4682644300800.

The previous prime is 13034444012179. The next prime is 13034444012203. The reversal of 13034444012200 is 221044443031.

It can be written as a sum of positive squares in 12 ways, for example, as 245280486564 + 12789163525636 = 495258^2 + 3576194^2 .

It is not an unprimeable number, because it can be changed into a prime (13034444012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67650391 + ... + 67842790.

Almost surely, 213034444012200 is an apocalyptic number.

13034444012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13034444012200 is an abundant number, since it is smaller than the sum of its proper divisors (20483859350960).

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

13034444012200 is a wasteful number, since it uses less digits than its factorization.

13034444012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135493247 (or 135493238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13034444012200 its reverse (221044443031), we get a palindrome (13255488455231).

The spelling of 13034444012200 in words is "thirteen trillion, thirty-four billion, four hundred forty-four million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 130 148 185 200 260 296 325 370 481 520 650 740 925 962 1300 1480 1850 1924 2405 2600 3700 3848 4810 7400 9620 12025 19240 24050 48100 96200 135493181 270986362 541972724 677465905 1083945448 1354931810 1761411353 2709863620 3387329525 3522822706 5013247697 5419727240 6774659050 7045645412 8807056765 10026495394 13549318100 14091290824 17614113530 20052990788 25066238485 27098636200 35228227060 40105981576 44035283825 50132476970 65172220061 70456454120 88070567650 100264953940 125331192425 130344440122 176141135300 200529907880 250662384850 260688880244 325861100305 352282270600 501324769700 521377760488 651722200610 1002649539400 1303444401220 1629305501525 2606888802440 3258611003050 6517222006100 13034444012200