Search a number
-
+
2000301323300 = 2252729687114341
BaseRepresentation
bin11101000110111011001…
…111111111010000100100
321002020010102211122211022
4131012323033333100210
5230233104114321200
64130531543230312
7264342221465450
oct35067317772044
97066112748738
102000301323300
11701360a49505
12283808a48398
13116820b06597
146cb5a8c9660
153707469d885
hex1d1bb3ff424

2000301323300 has 144 divisors (see below), whose sum is σ = 5132912305920. Its totient is φ = 662026176000.

The previous prime is 2000301323287. The next prime is 2000301323303. The reversal of 2000301323300 is 33231030002.

It is a super-2 number, since 2×20003013233002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2000301323303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139474130 + ... + 139488470.

Almost surely, 22000301323300 is an apocalyptic number.

2000301323300 is a gapful number since it is divisible by the number (20) 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 2000301323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566456152960).

2000301323300 is an abundant number, since it is smaller than the sum of its proper divisors (3132610982620).

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

2000301323300 is a wasteful number, since it uses less digits than its factorization.

2000301323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21262 (or 21255 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 2000301323300 its reverse (33231030002), we get a palindrome (2033532353302).

The spelling of 2000301323300 in words is "two trillion, three hundred one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 6871 10150 13742 14341 20300 27484 28682 34355 48097 57364 68710 71705 96194 100387 137420 143410 171775 192388 199259 200774 240485 286820 343550 358525 398518 401548 415889 480970 501935 687100 717050 797036 831778 961940 996295 1003870 1202425 1394813 1434100 1663556 1992590 2007740 2079445 2404850 2509675 2789626 2911223 3985180 4158890 4809700 4981475 5019350 5579252 5822446 6974065 8317780 9962950 10038700 10397225 11644892 13948130 14556115 19925900 20794450 27896260 29112230 34870325 41588900 58224460 69740650 72780575 98537011 139481300 145561150 197074022 291122300 394148044 492685055 689759077 985370110 1379518154 1970740220 2463425275 2759036308 2857573319 3448795385 4926850550 5715146638 6897590770 9853701100 11430293276 13795181540 14287866595 17243976925 20003013233 28575733190 34487953850 40006026466 57151466380 68975907700 71439332975 80012052932 100015066165 142878665950 200030132330 285757331900 400060264660 500075330825 1000150661650 2000301323300