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320302331230230 = 232519295391033493
BaseRepresentation
bin100100011010100000011001…
…0101011000111100000010110
31120000002121022011221212221100
41020311000302223013200112
5313440313133243331410
63053120505401530530
7124316036234540046
oct11065006253074026
91500077264855840
10320302331230230
1193070501795608
122bb108a27a3a46
13109954c34a550b
145914a03673726
152706bea8938c0
hex1235032ac7816

320302331230230 has 144 divisors (see below), whose sum is σ = 879016783685040. Its totient is φ = 80909922480768.

The previous prime is 320302331230207. The next prime is 320302331230313. The reversal of 320302331230230 is 32032133203023.

320302331230230 is a `hidden beast` number, since 3 + 2 + 0 + 302 + 3 + 3 + 123 + 0 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320302331230194 and 320302331230203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309405364 + ... + 310438856.

It is an arithmetic number, because the mean of its divisors is an integer number (6104283220035).

Almost surely, 2320302331230230 is an apocalyptic number.

320302331230230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320302331230230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439508391842520).

320302331230230 is an abundant number, since it is smaller than the sum of its proper divisors (558714452454810).

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

320302331230230 is a wasteful number, since it uses less digits than its factorization.

320302331230230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043083 (or 1043061 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 320302331230230 its reverse (32032133203023), we get a palindrome (352334464433253).

The spelling of 320302331230230 in words is "three hundred twenty trillion, three hundred two billion, three hundred thirty-one million, two hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1710 1805 2166 3249 3610 5415 6498 9539 10830 16245 19078 28617 32490 47695 57234 85851 95390 143085 171702 181241 286170 362482 429255 543723 858510 906205 1033493 1087446 1631169 1812410 2066986 2718615 3100479 3262338 3443579 5167465 5437230 6200958 6887158 8155845 9301437 10330737 10334930 15502395 16311690 17217895 18602874 19636367 20661474 30992211 31004790 34435790 39272734 46507185 51653685 58909101 61984422 93014370 98181835 103307370 117818202 154961055 176727303 196363670 294545505 309922110 353454606 373090973 589091010 746181946 883636515 1119272919 1767273030 1865454865 2238545838 3357818757 3730909730 5596364595 6715637514 9858489727 11192729190 16789093785 19716979454 29575469181 33578187570 49292448635 59150938362 88726407543 98584897270 147877345905 177452815086 187311304813 295754691810 374622609626 443632037715 561933914439 887264075430 936556524065 1123867828878 1685801743317 1873113048130 2809669572195 3371603486634 3558914791447 5619339144390 7117829582894 8429008716585 10676744374341 16858017433170 17794573957235 21353488748682 32030233123023 35589147914470 53383721871705 64060466246046 106767443743410 160151165615115 320302331230230