Search a number
-
+
330020101012200 = 23352975670448471
BaseRepresentation
bin100101100001001101100101…
…0111000111011101011101000
31121021111121120021020120021120
41023002123022320323223220
5321224022131324342300
63125521050313535240
7126341110520022354
oct11302331270735350
91537447507216246
10330020101012200
1196177814462555
1231020134114520
131121b9ba128111
145b6d0b5680464
1528248a81a83a0
hex12c26cae3bae8

330020101012200 has 96 divisors (see below), whose sum is σ = 1033609347476160. Its totient is φ = 87098088499200.

The previous prime is 330020101012187. The next prime is 330020101012211. The reversal of 330020101012200 is 2210101020033.

It is a super-3 number, since 3×3300201010122003 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 330020101012200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2835166036 + ... + 2835282435.

It is an arithmetic number, because the mean of its divisors is an integer number (10766764036210).

Almost surely, 2330020101012200 is an apocalyptic number.

330020101012200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330020101012200 is an abundant number, since it is smaller than the sum of its proper divisors (703589246463960).

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

330020101012200 is a wasteful number, since it uses less digits than its factorization.

330020101012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670448587 (or 5670448578 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 330020101012200 its reverse (2210101020033), we get a palindrome (332230202032233).

The spelling of 330020101012200 in words is "three hundred thirty trillion, twenty billion, one hundred one million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1940 2328 2425 2910 3880 4850 5820 7275 9700 11640 14550 19400 29100 58200 5670448471 11340896942 17011345413 22681793884 28352242355 34022690826 45363587768 56704484710 68045381652 85056727065 113408969420 136090763304 141761211775 170113454130 226817938840 283522423550 340226908260 425283635325 550033501687 567044847100 680453816520 850567270650 1100067003374 1134089694200 1650100505061 1701134541300 2200134006748 2750167508435 3300201010122 3402269082600 4400268013496 5500335016870 6600402020244 8250502525305 11000670033740 13200804040488 13750837542175 16501005050610 22001340067480 27501675084350 33002010101220 41252512626525 55003350168700 66004020202440 82505025253050 110006700337400 165010050506100 330020101012200