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10010202002020 = 22511292467115853
BaseRepresentation
bin1001000110101010111010…
…0010001101001001100100
31022102222002012002122122001
42101222232202031021210
52303001343203031040
633142342345215044
72052133065052363
oct221525642151144
938388065078561
1010010202002020
11320a337079150
121158064491484
13577c5b9512cc
142686d40357da
151255c590359a
hex91aae88d264

10010202002020 has 144 divisors (see below), whose sum is σ = 23801568493248. Its totient is φ = 3506997598720.

The previous prime is 10010202001997. The next prime is 10010202002033. The reversal of 10010202002020 is 2020020201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10010202001988 and 10010202002006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86346414 + ... + 86462266.

It is an arithmetic number, because the mean of its divisors is an integer number (165288670092).

Almost surely, 210010202002020 is an apocalyptic number.

10010202002020 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 10010202002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900784246624).

10010202002020 is an abundant number, since it is smaller than the sum of its proper divisors (13791366491228).

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

10010202002020 is a wasteful number, since it uses less digits than its factorization.

10010202002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116398 (or 116367 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10010202002020 its reverse (2020020201001), we get a palindrome (12030222203021).

The spelling of 10010202002020 in words is "ten trillion, ten billion, two hundred two million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 467 580 638 841 934 1276 1595 1682 1868 2335 3190 3364 4205 4670 5137 6380 8410 9251 9340 10274 13543 16820 18502 20548 25685 27086 37004 46255 51370 54172 67715 92510 102740 115853 135430 148973 185020 231706 270860 297946 392747 463412 579265 595892 744865 785494 1158530 1274383 1489730 1570988 1963735 2317060 2548766 2979460 3359737 3927470 4320217 5097532 6371915 6719474 7854940 8640434 12743830 13438948 16798685 17280868 21601085 25487660 33597370 36957107 43202170 54103351 67194740 73914214 86404340 97432373 108206702 147828428 184785535 194864746 216413404 270516755 369571070 389729492 487161865 541033510 595136861 739142140 974323730 1071756103 1082067020 1190273722 1568997179 1948647460 2143512206 2380547444 2975684305 3137994358 4287024412 5358780515 5951368610 6275988716 7844985895 10717561030 11902737220 15689971790 17258968969 21435122060 31379943580 34517937938 45500918191 69035875876 86294844845 91001836382 172589689690 182003672764 227504590955 345179379380 455009181910 500510100101 910018363820 1001020200202 2002040400404 2502550500505 5005101001010 10010202002020