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201201202020 = 223572135264291
BaseRepresentation
bin1011101101100010000…
…1101011001101100100
3201020100001120001220010
42323120201223031210
511244030001431040
6232233000010220
720351644666500
oct2733041531544
9636301501803
10201201202020
1178368919045
1232bb1a60970
1315c861447c0
149a49845300
155378b4ae80
hex2ed886b364

201201202020 has 144 divisors (see below), whose sum is σ = 705752042688. Its totient is φ = 42451234560.

The previous prime is 201201201997. The next prime is 201201202049. The reversal of 201201202020 is 20202102102.

201201202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201201201987 and 201201202005.

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, 2593926 + ... + 2670365.

It is an arithmetic number, because the mean of its divisors is an integer number (4901055852).

Almost surely, 2201201202020 is an apocalyptic number.

201201202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201202020 is an abundant number, since it is smaller than the sum of its proper divisors (504550840668).

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

201201202020 is a wasteful number, since it uses less digits than its factorization.

201201202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264330 (or 5264321 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201201202020 its reverse (20202102102), we get a palindrome (221403304122).

The spelling of 201201202020 in words is "two hundred one billion, two hundred one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 5264291 10528582 15792873 21057164 26321455 31585746 36850037 52642910 63171492 68435783 73700074 78964365 105285820 110550111 136871566 147400148 157928730 184250185 205307349 221100222 257950259 273743132 315857460 342178915 368500370 410614698 442200444 479050481 515900518 552750555 684357830 737000740 773850777 821229396 958100962 1026536745 1031801036 1105501110 1289751295 1368715660 1437151443 1547701554 1916201924 2053073490 2211002220 2395252405 2579502590 2874302886 3095403108 3353353367 3869253885 4106146980 4790504810 5159005180 5748605772 6706706734 7185757215 7738507770 9581009620 10060060101 13413413468 14371514430 15477015540 16766766835 20120120202 28743028860 33533533670 40240240404 50300300505 67067067340 100600601010 201201202020