Search a number
-
+
332013230223120 = 24335269571412003
BaseRepresentation
bin100101101111101101101101…
…0101001011110111100010000
31121112120011011212111011112000
41023133123122221132330100
5322004201043414114440
63134044434454034000
7126635110232544405
oct11337333251367420
91545504155434460
10332013230223120
1196876024991856
12312a247b048900
1311334937086b04
145bdb75180a2ac
15285b65cd91730
hex12df6daa5ef10

332013230223120 has 160 divisors (see below), whose sum is σ = 1147852433635200. Its totient is φ = 88207727924736.

The previous prime is 332013230223113. The next prime is 332013230223133. The reversal of 332013230223120 is 21322032310233.

332013230223120 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 1 + 323 + 0 + 22 + 312 + 0 = 666.

It is a super-2 number, since 2×3320132302231202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 285124962 + ... + 286287041.

It is an arithmetic number, because the mean of its divisors is an integer number (7174077710220).

Almost surely, 2332013230223120 is an apocalyptic number.

332013230223120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332013230223120 is an abundant number, since it is smaller than the sum of its proper divisors (815839203412080).

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

332013230223120 is a wasteful number, since it uses less digits than its factorization.

332013230223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571412294 (or 571412282 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332013230223120 its reverse (21322032310233), we get a palindrome (353335262533353).

The spelling of 332013230223120 in words is "three hundred thirty-two trillion, thirteen billion, two hundred thirty million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 269 270 360 432 538 540 720 807 1076 1080 1345 1614 2152 2160 2421 2690 3228 4035 4304 4842 5380 6456 7263 8070 9684 10760 12105 12912 14526 16140 19368 21520 24210 29052 32280 36315 38736 48420 58104 64560 72630 96840 116208 145260 193680 290520 581040 571412003 1142824006 1714236009 2285648012 2857060015 3428472018 4571296024 5142708027 5714120030 6856944036 8571180045 9142592048 10285416054 11428240060 13713888072 15428124081 17142360090 20570832108 22856480120 25713540135 27427776144 30856248162 34284720180 41141664216 45712960240 51427080270 61712496324 68569440360 77140620405 82283328432 102854160540 123424992648 137138880720 153709828807 154281240810 205708321080 246849985296 307419657614 308562481620 411416642160 461129486421 614839315228 617124963240 768549144035 922258972842 1229678630456 1234249926480 1383388459263 1537098288070 1844517945684 2305647432105 2459357260912 2766776918526 3074196576140 3689035891368 4150165377789 4611294864210 5533553837052 6148393152280 6916942296315 7378071782736 8300330755578 9222589728420 11067107674104 12296786304560 13833884592630 16600661511156 18445179456840 20750826888945 22134215348208 27667769185260 33201323022312 36890358913680 41501653777890 55335538370520 66402646044624 83003307555780 110671076741040 166006615111560 332013230223120