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12333112230 = 23517193141057
BaseRepresentation
bin10110111110001110…
…00101101110100110
31011211111221000102110
423133013011232212
5200224234042410
65355445221450
7614424503265
oct133707055646
934744830373
1012333112230
1152597a183a
122482401886
13121718705a
1484dd705dc
154c2b20720
hex2df1c5ba6

12333112230 has 128 divisors (see below), whose sum is σ = 34055147520. Its totient is φ = 2837790720.

The previous prime is 12333112201. The next prime is 12333112273. The reversal of 12333112230 is 3221133321.

It is a junction number, because it is equal to n+sod(n) for n = 12333112197 and 12333112206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279862 + ... + 320918.

It is an arithmetic number, because the mean of its divisors is an integer number (266055840).

Almost surely, 212333112230 is an apocalyptic number.

12333112230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333112230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17027573760).

12333112230 is an abundant number, since it is smaller than the sum of its proper divisors (21722035290).

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

12333112230 is a wasteful number, since it uses less digits than its factorization.

12333112230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41134.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12333112230 its reverse (3221133321), we get a palindrome (15554245551).

The spelling of 12333112230 in words is "twelve billion, three hundred thirty-three million, one hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 31 34 38 51 57 62 85 93 95 102 114 155 170 186 190 255 285 310 323 465 510 527 570 589 646 930 969 1054 1178 1581 1615 1767 1938 2635 2945 3162 3230 3534 4845 5270 5890 7905 8835 9690 10013 15810 17670 20026 30039 41057 50065 60078 82114 100130 123171 150195 205285 246342 300390 410570 615855 697969 780083 1231710 1272767 1395938 1560166 2093907 2340249 2545534 3489845 3818301 3900415 4187814 4680498 6363835 6979690 7636602 7800830 10469535 11701245 12727670 13261411 19091505 20939070 21637039 23402490 24182573 26522822 38183010 39784233 43274078 48365146 64911117 66307055 72547719 79568466 108185195 120912865 129822234 132614110 145095438 198921165 216370390 241825730 324555585 362738595 397842330 411103741 649111170 725477190 822207482 1233311223 2055518705 2466622446 4111037410 6166556115 12333112230