Search a number
-
+
212204142443300 = 225274110173206659
BaseRepresentation
bin110000001111111110100000…
…100001111011101100100100
31000211100111222112201202210012
4300033332200201323230210
5210303223040431141200
62031153123124345352
762461146320425310
oct6017764041735444
91024314875652705
10212204142443300
11616842a9293307
121b972701b45258
1391539c32737c7
143a58a41916b40
15197edb3e44a35
hexc0ffa087bb24

212204142443300 has 144 divisors (see below), whose sum is σ = 544439687379840. Its totient is φ = 70278391680000.

The previous prime is 212204142443281. The next prime is 212204142443323. The reversal of 212204142443300 is 3344241402212.

It is a happy number.

212204142443300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33704630 + ... + 39502029.

It is an arithmetic number, because the mean of its divisors is an integer number (3780831162360).

Almost surely, 2212204142443300 is an apocalyptic number.

212204142443300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212204142443300 is an abundant number, since it is smaller than the sum of its proper divisors (332235544936540).

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

212204142443300 is a wasteful number, since it uses less digits than its factorization.

212204142443300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73206822 (or 73206815 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 212204142443300 its reverse (3344241402212), we get a palindrome (215548383845512).

The spelling of 212204142443300 in words is "two hundred twelve trillion, two hundred four billion, one hundred forty-two million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 101 140 164 175 202 205 287 350 404 410 505 574 700 707 820 1010 1025 1148 1414 1435 2020 2050 2525 2828 2870 3535 4100 4141 5050 5740 7070 7175 8282 10100 14140 14350 16564 17675 20705 28700 28987 35350 41410 57974 70700 82820 103525 115948 144935 207050 289870 414100 579740 724675 1449350 2898700 73206659 146413318 292826636 366033295 512446613 732066590 1024893226 1464133180 1830166475 2049786452 2562233065 3001473019 3660332950 5124466130 6002946038 7320665900 7393872559 10248932260 12005892076 12811165325 14787745118 15007365095 21010311133 25622330650 29575490236 30014730190 36969362795 42020622266 51244661300 51757107913 60029460380 73938725590 75036825475 84041244532 103514215826 105051555665 147877451180 150073650950 184846813975 207028431652 210103111330 258785539565 300147301900 303148774919 369693627950 420206222660 517571079130 525257778325 606297549838 739387255900 1035142158260 1050515556650 1212595099676 1293927697825 1515743874595 2101031113300 2122041424433 2587855395650 3031487749190 4244082848866 5175710791300 6062975498380 7578719372975 8488165697732 10610207122165 15157438745950 21220414244330 30314877491900 42440828488660 53051035610825 106102071221650 212204142443300