Search a number
-
+
201217998785811 = 3732697229100559
BaseRepresentation
bin101101110000000110110111…
…010101110000110100010011
3222101110020211022020020000120
4231300012313111300310103
5202333223430142121221
61551542134510321323
760245343406215000
oct5560066725606423
9871406738206016
10201217998785811
115912908a632637
121a6994907b9243
138837a117705b7
1437990087408a7
15183e21de935c6
hexb701b7570d13

201217998785811 has 64 divisors (see below), whose sum is σ = 314085081600000. Its totient is φ = 114537286770816.

The previous prime is 201217998785777. The next prime is 201217998785857. The reversal of 201217998785811 is 118587899712102.

201217998785811 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201217998785811 - 222 = 201217994591507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201217998785311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2000944150 + ... + 2001044708.

It is an arithmetic number, because the mean of its divisors is an integer number (4907579400000).

Almost surely, 2201217998785811 is an apocalyptic number.

201217998785811 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201217998785811 is a deficient number, since it is larger than the sum of its proper divisors (112867082814189).

201217998785811 is a wasteful number, since it uses less digits than its factorization.

201217998785811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108081 (or 108067 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 69.

The spelling of 201217998785811 in words is "two hundred one trillion, two hundred seventeen billion, nine hundred ninety-eight million, seven hundred eighty-five thousand, eight hundred eleven".

Divisors: 1 3 7 21 49 147 269 343 807 1029 1883 5649 7229 13181 21687 39543 50603 92267 100559 151809 276801 301677 354221 703913 1062663 1944601 2111739 2479547 4927391 5833803 7438641 13612207 14782173 27050371 34491737 40836621 81151113 95285449 103475211 189352597 285856347 568057791 666998143 726941011 1325468179 2000994429 2180823033 3976404537 5088587077 9278277253 15265761231 27834831759 35620109539 106860328617 195547131959 249340766773 586641395877 748022300319 1368829923713 4106489771139 9581809465991 28745428397973 67072666261937 201217998785811