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212044131505320 = 233530738315028231
BaseRepresentation
bin110000001101101001011111…
…001000101001010010101000
31000210210012222002220220200220
4300031221133020221102220
5210243112340131132240
62030551421302530040
762443453152045042
oct6015513710512250
91023705862826626
10212044131505320
116162245828a2a4
121b9476a6736920
1391418a297740a
143a50dc2796a92
15197ab4b5465d0
hexc0da5f2294a8

212044131505320 has 128 divisors (see below), whose sum is σ = 639870859837440. Its totient is φ = 56213755557120.

The previous prime is 212044131505289. The next prime is 212044131505363. The reversal of 212044131505320 is 23505131440212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6595605 + ... + 21623835.

It is an arithmetic number, because the mean of its divisors is an integer number (4998991092480).

Almost surely, 2212044131505320 is an apocalyptic number.

212044131505320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212044131505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319935429918720).

212044131505320 is an abundant number, since it is smaller than the sum of its proper divisors (427826728332120).

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

212044131505320 is a wasteful number, since it uses less digits than its factorization.

212044131505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15028935 (or 15028931 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 212044131505320 its reverse (23505131440212), we get a palindrome (235549262945532).

The spelling of 212044131505320 in words is "two hundred twelve trillion, forty-four billion, one hundred thirty-one million, five hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 383 614 766 921 1149 1228 1532 1535 1842 1915 2298 2456 3064 3070 3684 3830 4596 4605 5745 6140 7368 7660 9192 9210 11490 12280 15320 18420 22980 36840 45960 117581 235162 352743 470324 587905 705486 940648 1175810 1410972 1763715 2351620 2821944 3527430 4703240 7054860 14109720 15028231 30056462 45084693 60112924 75141155 90169386 120225848 150282310 180338772 225423465 300564620 360677544 450846930 601129240 901693860 1803387720 4613666917 5755812473 9227333834 11511624946 13841000751 17267437419 18454667668 23023249892 23068334585 27682001502 28779062365 34534874838 36909335336 46046499784 46136669170 55364003004 57558124730 69069749676 69205003755 86337187095 92273338340 110728006008 115116249460 138139499352 138410007510 172674374190 184546676680 230232498920 276820015020 345348748380 553640030040 690697496760 1767034429211 3534068858422 5301103287633 7068137716844 8835172146055 10602206575266 14136275433688 17670344292110 21204413150532 26505516438165 35340688584220 42408826301064 53011032876330 70681377168440 106022065752660 212044131505320