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201210220020 = 223519448339371
BaseRepresentation
bin1011101101100100010…
…0000100110111110100
3201020100200112020021010
42323121010010313310
511244034304020040
6232233521152220
720352114436155
oct2733104046764
9636320466233
10201210220020
1178372a18437
1232bb4a8b670
1315c87c813b4
149a4ab1192c
15537982ce80
hex2ed9104df4

201210220020 has 96 divisors (see below), whose sum is σ = 593188001280. Its totient is φ = 50819425920.

The previous prime is 201210219997. The next prime is 201210220171. The reversal of 201210220020 is 20022012102.

201210220020 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 = 201210219978 and 201210220005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5090935 + ... + 5130305.

It is an arithmetic number, because the mean of its divisors is an integer number (6179041680).

Almost surely, 2201210220020 is an apocalyptic number.

201210220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210220020 is an abundant number, since it is smaller than the sum of its proper divisors (391977781260).

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

201210220020 is a wasteful number, since it uses less digits than its factorization.

201210220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43885 (or 43883 counting only the distinct ones).

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

Adding to 201210220020 its reverse (20022012102), we get a palindrome (221232232122).

The spelling of 201210220020 in words is "two hundred one billion, two hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 4483 8966 13449 17932 22415 26898 39371 44830 53796 67245 78742 85177 89660 118113 134490 157484 170354 196855 236226 255531 268980 340708 393710 425885 472452 511062 590565 748049 787420 851770 1022124 1181130 1277655 1496098 1703540 2244147 2362260 2555310 2992196 3740245 4488294 5110620 7480490 8976588 11220735 14960980 22441470 44882940 176500193 353000386 529500579 706000772 882500965 1059001158 1765001930 2118002316 2647502895 3353503667 3530003860 5295005790 6707007334 10060511001 10590011580 13414014668 16767518335 20121022002 33535036670 40242044004 50302555005 67070073340 100605110010 201210220020