Search a number
-
+
201110001012220 = 225191573479714511
BaseRepresentation
bin101101101110100010010010…
…001010111100110111111100
3222101001221001202100212221011
4231232202102022330313330
5202324441240224342340
61551420354203245004
760234501206251216
oct5556422212746774
9871057052325834
10201110001012220
11590972aa70a8a3
121a680570519764
13882a79001a261
143793ac14355b6
15183b4eca4d0ea
hexb6e8922bcdfc

201110001012220 has 96 divisors (see below), whose sum is σ = 448679891358720. Its totient is φ = 75506456413440.

The previous prime is 201110001012209. The next prime is 201110001012229. The reversal of 201110001012220 is 22210100011102.

It is a self number, because there is not a number n which added to its sum of digits gives 201110001012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110001012229) 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, 15844765 + ... + 25559275.

It is an arithmetic number, because the mean of its divisors is an integer number (4673748868320).

Almost surely, 2201110001012220 is an apocalyptic number.

201110001012220 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 201110001012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224339945679360).

201110001012220 is an abundant number, since it is smaller than the sum of its proper divisors (247569890346500).

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

201110001012220 is a wasteful number, since it uses less digits than its factorization.

201110001012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715043 (or 9715041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201110001012220 its reverse (22210100011102), we get a palindrome (223320101023322).

The spelling of 201110001012220 in words is "two hundred one trillion, one hundred ten billion, one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 157 190 314 347 380 628 694 785 1388 1570 1735 2983 3140 3470 5966 6593 6940 11932 13186 14915 26372 29830 32965 54479 59660 65930 108958 131860 217916 272395 544790 1035101 1089580 2070202 4140404 5175505 9714511 10351010 19429022 20702020 38858044 48572555 97145110 184575709 194290220 369151418 738302836 922878545 1525178227 1845757090 3050356454 3370935317 3691514180 6100712908 6741870634 7625891135 13483741268 15251782270 16854676585 28978386313 30503564540 33709353170 57956772626 64047771023 67418706340 115913545252 128095542046 144891931565 256191084092 289783863130 320238855115 529236844769 579567726260 640477710230 1058473689538 1280955420460 2116947379076 2646184223845 5292368447690 10055500050611 10584736895380 20111000101222 40222000202444 50277500253055 100555000506110 201110001012220