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14104021100 = 225213171933589
BaseRepresentation
bin11010010001010101…
…00100100001101100
31100101221012111200212
431020222210201230
5212341112133400
610251310041552
71006340126021
oct151052444154
940357174625
1014104021100
115a88396894
1228974a92b8
13143a02ca20
1497b233548
1557832e335
hex348aa486c

14104021100 has 144 divisors (see below), whose sum is σ = 36736711200. Its totient is φ = 4643205120.

The previous prime is 14104021093. The next prime is 14104021109. The reversal of 14104021100 is 112040141.

It is a super-2 number, since 2×141040211002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14104021109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403106 + ... + 436694.

It is an arithmetic number, because the mean of its divisors is an integer number (255116050).

Almost surely, 214104021100 is an apocalyptic number.

14104021100 is a gapful number since it is divisible by the number (10) 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 14104021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368355600).

14104021100 is an abundant number, since it is smaller than the sum of its proper divisors (22632690100).

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

14104021100 is a wasteful number, since it uses less digits than its factorization.

14104021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33652 (or 33645 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14104021100 its reverse (112040141), we get a palindrome (14216061241).

The spelling of 14104021100 in words is "fourteen billion, one hundred four million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 19 20 25 26 34 38 50 52 65 68 76 85 95 100 130 170 190 221 247 260 323 325 340 380 425 442 475 494 646 650 850 884 950 988 1105 1235 1292 1300 1615 1700 1900 2210 2470 3230 4199 4420 4940 5525 6175 6460 8075 8398 11050 12350 16150 16796 20995 22100 24700 32300 33589 41990 67178 83980 104975 134356 167945 209950 335890 419900 436657 571013 638191 671780 839725 873314 1142026 1276382 1679450 1746628 2183285 2284052 2552764 2855065 3190955 3358900 4366570 5710130 6381910 7423169 8296483 8733140 10849247 10916425 11420260 12763820 14275325 14846338 15954775 16592966 21698494 21832850 28550650 29692676 31909550 33185932 37115845 41482415 43396988 43665700 54246235 57101300 63819100 74231690 82964830 108492470 141040211 148463380 165929660 185579225 207412075 216984940 271231175 282080422 371158450 414824150 542462350 564160844 705201055 742316900 829648300 1084924700 1410402110 2820804220 3526005275 7052010550 14104021100