Search a number
-
+
2301152441250 = 23541359800053
BaseRepresentation
bin100001011111000111010…
…111111011001110100010
322010222200021021221220110
4201133013113323032202
5300200230011110000
64521045042552150
7325152463006425
oct41370727731642
98128607257813
102301152441250
11807a05620273
12311b8b368656
13138cc8075280
147d53aaa19bc
153ecd1930850
hex217c75fb3a2

2301152441250 has 160 divisors (see below), whose sum is σ = 6298409113920. Its totient is φ = 556836192000.

The previous prime is 2301152441221. The next prime is 2301152441281. The reversal of 2301152441250 is 521442511032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2476224 + ... + 3276276.

It is an arithmetic number, because the mean of its divisors is an integer number (39365056962).

Almost surely, 22301152441250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301152441250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149204556960).

2301152441250 is an abundant number, since it is smaller than the sum of its proper divisors (3997256672670).

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

2301152441250 is a wasteful number, since it uses less digits than its factorization.

2301152441250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800150 (or 800135 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2301152441250 its reverse (521442511032), we get a palindrome (2822594952282).

The spelling of 2301152441250 in words is "two trillion, three hundred one billion, one hundred fifty-two million, four hundred forty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 59 65 75 78 118 125 130 150 177 195 250 295 325 354 375 390 590 625 650 750 767 885 975 1250 1475 1534 1625 1770 1875 1950 2301 2950 3250 3750 3835 4425 4602 4875 7375 7670 8125 8850 9750 11505 14750 16250 19175 22125 23010 24375 36875 38350 44250 48750 57525 73750 95875 110625 115050 191750 221250 287625 479375 575250 800053 958750 1438125 1600106 2400159 2876250 4000265 4800318 8000530 10400689 12000795 20001325 20801378 24001590 31202067 40002650 47203127 52003445 60003975 62404134 94406254 100006625 104006890 120007950 141609381 156010335 200013250 236015635 260017225 283218762 300019875 312020670 472031270 500033125 520034450 600039750 613640651 708046905 780051675 1000066250 1180078175 1227281302 1300086125 1416093810 1500099375 1560103350 1840921953 2360156350 2600172250 3000198750 3068203255 3540234525 3681843906 3900258375 5900390875 6136406510 6500430625 7080469050 7800516750 9204609765 11800781750 13000861250 15341016275 17701172625 18409219530 19501291875 29501954375 30682032550 35402345250 39002583750 46023048825 59003908750 76705081375 88505863125 92046097650 153410162750 177011726250 230115244125 383525406875 460230488250 767050813750 1150576220625 2301152441250