Search a number
-
+
12131112231300 = 22352431135182847
BaseRepresentation
bin1011000010000111111010…
…1000101010000110000100
31120221201112001212112221010
42300201332220222012010
53042224004212400200
641444542300122220
72361305161414506
oct260417650520604
946851461775833
1012131112231300
113957859662857
12143b110b36370
1369cc60b3843a
142dd212a8bd76
15160858734150
hexb087ea2a184

12131112231300 has 144 divisors (see below), whose sum is σ = 35919213023232. Its totient is φ = 3159415056000.

The previous prime is 12131112231281. The next prime is 12131112231367. The reversal of 12131112231300 is 313221113121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146386477 + ... + 146469323.

It is an arithmetic number, because the mean of its divisors is an integer number (249438979328).

Almost surely, 212131112231300 is an apocalyptic number.

12131112231300 is a gapful number since it is divisible by the number (10) 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 12131112231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959606511616).

12131112231300 is an abundant number, since it is smaller than the sum of its proper divisors (23788100791932).

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

12131112231300 is a wasteful number, since it uses less digits than its factorization.

12131112231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94258 (or 94251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12131112231300 its reverse (313221113121), we get a palindrome (12444333344421).

The spelling of 12131112231300 in words is "twelve trillion, one hundred thirty-one billion, one hundred twelve million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 11351 12900 22702 34053 45404 56755 68106 82847 113510 136212 165694 170265 227020 248541 283775 331388 340530 414235 488093 497082 567550 681060 828470 851325 976186 994164 1135100 1242705 1464279 1656940 1702650 1952372 2071175 2440465 2485410 2928558 3405300 3562421 4142350 4880930 4970820 5857116 6213525 7124842 7321395 8284700 9761860 10687263 12202325 12427050 14249684 14642790 17812105 21374526 24404650 24854100 29285580 35624210 36606975 42749052 48809300 53436315 71248420 73213950 89060525 106872630 146427900 178121050 213745260 267181575 356242100 534363150 940396297 1068726300 1880792594 2821188891 3761585188 4701981485 5642377782 9403962970 11284755564 14105944455 18807925940 23509907425 28211888910 40437040771 47019814850 56423777820 70529722275 80874081542 94039629700 121311122313 141059444550 161748163084 202185203855 242622244626 282118889100 404370407710 485244489252 606555611565 808740815420 1010926019275 1213111223130 2021852038550 2426222446260 3032778057825 4043704077100 6065556115650 12131112231300