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130010220203000 = 235310111113115831
BaseRepresentation
bin11101100011111001011100…
…111111100000101111111000
3122001022212002210010101121212
4131203321130333200233320
5114020041412332444000
61140301512020222252
736245633312043614
oct3543713477405770
9561285083111555
10130010220203000
113847502aa43a95
12126b8a2783a988
135770baca81597
142416757682344
151006ce6951c35
hex763e5cfe0bf8

130010220203000 has 128 divisors (see below), whose sum is σ = 307266332480640. Its totient is φ = 51484118400000.

The previous prime is 130010220202991. The next prime is 130010220203033. The reversal of 130010220203000 is 302022010031.

It is a happy number.

It is a super-2 number, since 2×1300102202030002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122355085 + ... + 1122470915.

It is an arithmetic number, because the mean of its divisors is an integer number (2400518222505).

Almost surely, 2130010220203000 is an apocalyptic number.

130010220203000 is a gapful number since it is divisible by the number (10) 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 130010220203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633166240320).

130010220203000 is an abundant number, since it is smaller than the sum of its proper divisors (177256112277640).

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

130010220203000 is a wasteful number, since it uses less digits than its factorization.

130010220203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127066 (or 127052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130010220203000 its reverse (302022010031), we get a palindrome (130312242213031).

The spelling of 130010220203000 in words is "one hundred thirty trillion, ten billion, two hundred twenty million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 11113 12625 20200 22226 25250 44452 50500 55565 88904 101000 111130 115831 222260 231662 277825 444520 463324 555650 579155 926648 1111300 1122413 1158310 1389125 2222600 2244826 2316620 2778250 2895775 4489652 4633240 5556500 5612065 5791550 8979304 11113000 11224130 11583100 11698931 14478875 22448260 23166200 23397862 28060325 28957750 44896520 46795724 56120650 57915500 58494655 93591448 112241300 115831000 116989310 140301625 224482600 233978620 280603250 292473275 467957240 561206500 584946550 1122413000 1169893100 1287229903 1462366375 2339786200 2574459806 2924732750 5148919612 5849465500 6436149515 10297839224 11698931000 12872299030 25744598060 32180747575 51489196120 64361495150 128722990300 130010220203 160903737875 257445980600 260020440406 321807475750 520040880812 643614951500 650051101015 1040081761624 1287229903000 1300102202030 2600204404060 3250255505075 5200408808120 6500511010150 13001022020300 16251277525375 26002044040600 32502555050750 65005110101500 130010220203000