Search a number
-
+
301200130320 = 243523130141941
BaseRepresentation
bin1000110001000001110…
…11010100000100010000
31001210110011011222001020
410120200323110010100
514413324213132240
6350211444035440
730522006602505
oct4304073240420
91053404158036
10301200130320
11106813691a41
124a45b392b80
132253166a4ab
14108146a74ac
157c7cc230d0
hex4620ed4110

301200130320 has 160 divisors (see below), whose sum is σ = 975089090304. Its totient is φ = 76766976000.

The previous prime is 301200130307. The next prime is 301200130337. The reversal of 301200130320 is 23031002103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 301200130320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7160550 + ... + 7202490.

Almost surely, 2301200130320 is an apocalyptic number.

301200130320 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 301200130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487544545152).

301200130320 is an abundant number, since it is smaller than the sum of its proper divisors (673888959984).

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

301200130320 is a wasteful number, since it uses less digits than its factorization.

301200130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43281 (or 43275 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 301200130320 its reverse (23031002103), we get a palindrome (324231132423).

The spelling of 301200130320 in words is "three hundred one billion, two hundred million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1301 1380 1840 2602 2760 3903 5204 5520 6505 7806 10408 13010 15612 19515 20816 26020 29923 31224 39030 41941 52040 59846 62448 78060 83882 89769 104080 119692 125823 149615 156120 167764 179538 209705 239384 251646 299230 312240 335528 359076 419410 448845 478768 503292 598460 629115 671056 718152 838820 897690 964643 1006584 1196920 1258230 1436304 1677640 1795380 1929286 2013168 2393840 2516460 2893929 3355280 3590760 3858572 4823215 5032920 5787858 7181520 7717144 9646430 10065840 11575716 14469645 15434288 19292860 23151432 28939290 38585720 46302864 54565241 57878580 77171440 109130482 115757160 163695723 218260964 231514320 272826205 327391446 436521928 545652410 654782892 818478615 873043856 1091304820 1255000543 1309565784 1636957230 2182609640 2510001086 2619131568 3273914460 3765001629 4365219280 5020002172 6275002715 6547828920 7530003258 10040004344 12550005430 13095657840 15060006516 18825008145 20080008688 25100010860 30120013032 37650016290 50200021720 60240026064 75300032580 100400043440 150600065160 301200130320