Search a number
-
+
20205314310020 = 22576112197193979
BaseRepresentation
bin1001001100000011010101…
…00101001111111110000100
32122112121110002120010000012
410212001222211033332010
510122020440430410040
6110550105424205352
74153533344613050
oct446015245177604
978477402503005
1020205314310020
1164900311a3a94
122323b12a69858
13b374785ccb48
144dbd2a05ac60
152508beb4a865
hex12606a94ff84

20205314310020 has 96 divisors (see below), whose sum is σ = 49292012609280. Its totient is φ = 6813376381440.

The previous prime is 20205314310019. The next prime is 20205314310053. The reversal of 20205314310020 is 2001341350202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104065391 + ... + 104259369.

It is an arithmetic number, because the mean of its divisors is an integer number (513458464680).

Almost surely, 220205314310020 is an apocalyptic number.

20205314310020 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 20205314310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24646006304640).

20205314310020 is an abundant number, since it is smaller than the sum of its proper divisors (29086698299260).

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

20205314310020 is a wasteful number, since it uses less digits than its factorization.

20205314310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206253 (or 206251 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 20205314310020 its reverse (2001341350202), we get a palindrome (22206655660222).

The spelling of 20205314310020 in words is "twenty trillion, two hundred five billion, three hundred fourteen million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 12197 24394 48788 60985 85379 121970 170758 193979 243940 341516 387958 426895 744017 775916 853790 969895 1357853 1488034 1707580 1939790 2715706 2976068 3720085 3879580 5208119 5431412 6789265 7440170 10416238 11832719 13578530 14880340 20832476 23665438 26040595 27157060 47330876 52081190 59163595 82829033 104162380 118327190 165658066 236654380 331316132 414145165 828290330 1656580660 2365961863 4731923726 9463847452 11829809315 16561733041 23659618630 33123466082 47319237260 66246932164 82808665205 144323673643 165617330410 288647347286 331234660820 577294694572 721618368215 1010265715501 1443236736430 2020531431002 2886473472860 4041062862004 5051328577505 10102657155010 20205314310020