Search a number
-
+
201041233001220 = 2235191345931310261
BaseRepresentation
bin101101101101100010001111…
…010001110011101100000100
3222100211100120012012222020210
4231231202033101303230010
5202322324421122014340
61551325022322155420
760226515111641223
oct5555421721635404
9870740505188223
10201041233001220
1159070120993357
121a66b17a1b2b70
138824150bb74a1
14379063a2b8cba
151839825696180
hexb6d88f473b04

201041233001220 has 96 divisors (see below), whose sum is σ = 592547436190080. Its totient is φ = 50788948008960.

The previous prime is 201041233001209. The next prime is 201041233001221. The reversal of 201041233001220 is 22100332140102.

201041233001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201041233001221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152780890 + ... + 154091150.

It is an arithmetic number, because the mean of its divisors is an integer number (6172369126980).

Almost surely, 2201041233001220 is an apocalyptic number.

201041233001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201041233001220 is an abundant number, since it is smaller than the sum of its proper divisors (391506203188860).

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

201041233001220 is a wasteful number, since it uses less digits than its factorization.

201041233001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444885 (or 1444883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201041233001220 its reverse (22100332140102), we get a palindrome (223141565141322).

The spelling of 201041233001220 in words is "two hundred one trillion, forty-one billion, two hundred thirty-three million, one thousand, two hundred 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 134593 269186 403779 538372 672965 807558 1310261 1345930 1615116 2018895 2557267 2620522 2691860 3930783 4037790 5114534 5241044 6551305 7671801 7861566 8075580 10229068 12786335 13102610 15343602 15723132 19653915 24894959 25572670 26205220 30687204 38359005 39307830 49789918 51145340 74684877 76718010 78615660 99579836 124474795 149369754 153436020 248949590 298739508 373424385 497899180 746848770 1493697540 176351958773 352703917546 529055876319 705407835092 881759793865 1058111752638 1763519587730 2116223505276 2645279381595 3350687216687 3527039175460 5290558763190 6701374433374 10052061650061 10581117526380 13402748866748 16753436083435 20104123300122 33506872166870 40208246600244 50260308250305 67013744333740 100520616500610 201041233001220