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201012220220220 = 223256738391977757
BaseRepresentation
bin101101101101000111001101…
…111110110101001100111100
3222100201120200020112222202100
4231231013031332311030330
5202321341011334021340
61551303423353425100
760224440130241663
oct5555071576651474
9870646606488670
10201012220220220
1159059892a335a2
121a665621a0b190
1388214a9205c56
14378d087011dda
151838bc8576830
hexb6d1cdfb533c

201012220220220 has 144 divisors (see below), whose sum is σ = 611371198226880. Its totient is φ = 53459788935168.

The previous prime is 201012220220213. The next prime is 201012220220237. The reversal of 201012220220220 is 22022022210102.

201012220220220 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 2 + 220 + 220 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201012220220193 and 201012220220202.

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 47 ways as a sum of consecutive naturals, for example, 100647582 + ... + 102625338.

It is an arithmetic number, because the mean of its divisors is an integer number (4245633321020).

Almost surely, 2201012220220220 is an apocalyptic number.

201012220220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012220220220 is an abundant number, since it is smaller than the sum of its proper divisors (410358978006660).

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

201012220220220 is a wasteful number, since it uses less digits than its factorization.

201012220220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979284 (or 1979279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201012220220220 its reverse (22022022210102), we get a palindrome (223034242430322).

The spelling of 201012220220220 in words is "two hundred one trillion, twelve billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 673 839 1346 1678 2019 2517 2692 3356 3365 4038 4195 5034 6057 6730 7551 8076 8390 10068 10095 12114 12585 13460 15102 16780 20190 24228 25170 30204 30285 37755 40380 50340 60570 75510 121140 151020 564647 1129294 1693941 1977757 2258588 2823235 3387882 3955514 5081823 5646470 5933271 6775764 7911028 8469705 9888785 10163646 11292940 11866542 16939410 17799813 19777570 20327292 23733084 25409115 29666355 33878820 35599626 39555140 50818230 59332710 71199252 88999065 101636460 118665420 177998130 355996260 1331030461 1659338123 2662060922 3318676246 3993091383 4978014369 5324121844 6637352492 6655152305 7986182766 8296690615 9956028738 11979274149 13310304610 14934043107 15972365532 16593381230 19912057476 19965456915 23958548298 24890071845 26620609220 29868086214 33186762460 39930913830 47917096596 49780143690 59736172428 59896370745 74670215535 79861827660 99560287380 119792741490 149340431070 239585482980 298680862140 1116734556779 2233469113558 3350203670337 4466938227116 5583672783895 6700407340674 10050611011011 11167345567790 13400814681348 16751018351685 20101222022022 22334691135580 33502036703370 40202444044044 50253055055055 67004073406740 100506110110110 201012220220220