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14321120200 = 23522330710141
BaseRepresentation
bin11010101011001101…
…01111001111001000
31100222001201021200021
431111212233033020
5213312201321300
610325023150224
71014614341012
oct152546571710
940861637607
1014321120200
116089998632
122938145374
131472cc2c2a
1499bdc71b2
1558c414d1a
hex3559af3c8

14321120200 has 96 divisors (see below), whose sum is σ = 34860893760. Its totient is φ = 5460998400.

The previous prime is 14321120183. The next prime is 14321120239. The reversal of 14321120200 is 202112341.

It is a super-3 number, since 3×143211202003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407130 + ... + 1417270.

It is an arithmetic number, because the mean of its divisors is an integer number (363134310).

Almost surely, 214321120200 is an apocalyptic number.

14321120200 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 14321120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430446880).

14321120200 is an abundant number, since it is smaller than the sum of its proper divisors (20539773560).

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

14321120200 is a wasteful number, since it uses less digits than its factorization.

14321120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14321120200 its reverse (202112341), we get a palindrome (14523232541).

The spelling of 14321120200 in words is "fourteen billion, three hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 307 460 575 614 920 1150 1228 1535 2300 2456 3070 4600 6140 7061 7675 10141 12280 14122 15350 20282 28244 30700 35305 40564 50705 56488 61400 70610 81128 101410 141220 176525 202820 233243 253525 282440 353050 405640 466486 507050 706100 932972 1014100 1166215 1412200 1865944 2028200 2332430 3113287 4664860 5831075 6226574 9329720 11662150 12453148 15566435 23324300 24906296 31132870 46648600 62265740 71605601 77832175 124531480 143211202 155664350 286422404 311328700 358028005 572844808 622657400 716056010 1432112020 1790140025 2864224040 3580280050 7160560100 14321120200