Search a number
-
+
320433300120 = 233561178924469
BaseRepresentation
bin1001010100110110101…
…00000010001010011000
31010122002112210020000110
410222123110002022120
520222221411100440
6403112141404320
732102431053033
oct4523324021230
91118075706013
10320433300120
1111399327609a
12521285696a0
13242a8206c3b
141171abba01a
1585064ba080
hex4a9b502298

320433300120 has 128 divisors (see below), whose sum is σ = 977645016000. Its totient is φ = 83997665280.

The previous prime is 320433300091. The next prime is 320433300133. The reversal of 320433300120 is 21003334023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13083246 + ... + 13107714.

Almost surely, 2320433300120 is an apocalyptic number.

320433300120 is a gapful number since it is divisible by the number (30) 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 320433300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488822508000).

320433300120 is an abundant number, since it is smaller than the sum of its proper divisors (657211715880).

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

320433300120 is a wasteful number, since it uses less digits than its factorization.

320433300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26333 (or 26329 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 320433300120 its reverse (21003334023), we get a palindrome (341436634143).

The spelling of 320433300120 in words is "three hundred twenty billion, four hundred thirty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1789 1830 2440 3578 3660 5367 7156 7320 8945 10734 14312 17890 21468 24469 26835 35780 42936 48938 53670 71560 73407 97876 107340 109129 122345 146814 195752 214680 218258 244690 293628 327387 367035 436516 489380 545645 587256 654774 734070 873032 978760 1091290 1309548 1468140 1492609 1636935 2182580 2619096 2936280 2985218 3273870 4365160 4477827 5970436 6547740 7463045 8955654 11940872 13095480 14926090 17911308 22389135 29852180 35822616 43775041 44778270 59704360 87550082 89556540 131325123 175100164 179113080 218875205 262650246 350200328 437750410 525300492 656625615 875500820 1050600984 1313251230 1751001640 2626502460 2670277501 5253004920 5340555002 8010832503 10681110004 13351387505 16021665006 21362220008 26702775010 32043330012 40054162515 53405550020 64086660024 80108325030 106811100040 160216650060 320433300120