Search a number
-
+
201102112012220 = 225316131477935803
BaseRepresentation
bin101101101110011010111011…
…111100110011011110111100
3222101001011200221211011101222
4231232122323330303132330
5202324324111133342340
61551413011310452512
760234101543666216
oct5556327374633674
9871034627734358
10201102112012220
1159093a21567391
121a67ab2a504138
138829b0379c713
1437935737c35b6
15183b1da17b8b5
hexb6e6bbf337bc

201102112012220 has 96 divisors (see below), whose sum is σ = 436690377553920. Its totient is φ = 77711557697280.

The previous prime is 201102112012199. The next prime is 201102112012229. The reversal of 201102112012220 is 22210211201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102112012229) 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, 5616888839 + ... + 5616924641.

It is an arithmetic number, because the mean of its divisors is an integer number (4548858099520).

Almost surely, 2201102112012220 is an apocalyptic number.

201102112012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102112012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218345188776960).

201102112012220 is an abundant number, since it is smaller than the sum of its proper divisors (235588265541700).

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

201102112012220 is a wasteful number, since it uses less digits than its factorization.

201102112012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51235 (or 51233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201102112012220 its reverse (22210211201102), we get a palindrome (223312323213322).

The spelling of 201102112012220 in words is "two hundred one trillion, one hundred two billion, one hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 613 620 1226 2452 3065 6130 12260 14779 19003 29558 35803 38006 59116 71606 73895 76012 95015 143212 147790 179015 190030 295580 358030 380060 458149 716060 916298 1109893 1832596 2219786 2290745 4439572 4581490 5549465 9059527 9162980 11098930 18119054 21947239 22197860 36238108 43894478 45297635 87788956 90595270 109736195 181190540 219472390 280845337 438944780 529132537 561690674 680364409 1058265074 1123381348 1360728818 1404226685 2116530148 2645662685 2721457636 2808453370 3401822045 5291325370 5616906740 6803644090 10582650740 13607288180 16403108647 32806217294 65612434588 82015543235 164031086470 324358245181 328062172940 648716490362 1297432980724 1621791225905 3243582451810 6487164903620 10055105600611 20110211201222 40220422402444 50275528003055 100551056006110 201102112012220