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201011012201010 = 235114757722461163
BaseRepresentation
bin101101101101000110000101…
…111110100110101000110010
3222100201110120001110020221010
4231231012011332212220302
5202321331023110413020
61551303103441411350
760224365161244044
oct5555060576465062
9870643501406833
10201011012201010
115905932304a910
121a665345339b56
138821345b6469b
14378cdb07d5a94
151838b574a4de0
hexb6d185fa6a32

201011012201010 has 128 divisors (see below), whose sum is σ = 538412429389824. Its totient is φ = 47610475868160.

The previous prime is 201011012200997. The next prime is 201011012201029. The reversal of 201011012201010 is 10102210110102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2281312 + ... + 20179851.

It is an arithmetic number, because the mean of its divisors is an integer number (4206347104608).

Almost surely, 2201011012201010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011012201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269206214694912).

201011012201010 is an abundant number, since it is smaller than the sum of its proper divisors (337401417188814).

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

201011012201010 is a wasteful number, since it uses less digits than its factorization.

201011012201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22461808.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201011012201010 its reverse (10102210110102), we get a palindrome (211113222311112).

The spelling of 201011012201010 in words is "two hundred one trillion, eleven billion, twelve million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 577 705 1034 1154 1410 1551 1731 2585 2885 3102 3462 5170 5770 6347 7755 8655 12694 15510 17310 19041 27119 31735 38082 54238 63470 81357 95205 135595 162714 190410 271190 298309 406785 596618 813570 894927 1491545 1789854 2983090 4474635 8949270 22461163 44922326 67383489 112305815 134766978 224611630 247072793 336917445 494145586 673834890 741218379 1055674661 1235363965 1482436758 2111349322 2470727930 3167023983 3706091895 5278373305 6334047966 7412183790 10556746610 11612421271 12960091051 15835119915 23224842542 25920182102 31670239830 34837263813 38880273153 58062106355 64800455255 69674527626 77760546306 116124212710 129600910510 142561001561 174186319065 194401365765 285122003122 348372638130 388802731530 427683004683 609124279397 712805007805 855366009366 1218248558794 1425610015610 1827372838191 2138415023415 3045621396985 3654745676382 4276830046830 6091242793970 6700367073367 9136864190955 13400734146734 18273728381910 20101101220101 33501835366835 40202202440202 67003670733670 100505506100505 201011012201010