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12131311311300 = 223522911171248347
BaseRepresentation
bin1011000010001000101010…
…0000000101100111000100
31120221202000221110212100110
42300202022200011213010
53042224411143430200
641445014131113020
72361313126520616
oct260421240054704
946852027425313
1012131311311300
113957950a77585
12143b167742770
1369cc9315ca5c
142dd2312b0db6
1516086ae5ab50
hexb088a8059c4

12131311311300 has 144 divisors (see below), whose sum is σ = 36342805786560. Its totient is φ = 3120665264640.

The previous prime is 12131311311277. The next prime is 12131311311313. The reversal of 12131311311300 is 311311313121.

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, 9093727 + ... + 10342073.

It is an arithmetic number, because the mean of its divisors is an integer number (252380595740).

Almost surely, 212131311311300 is an apocalyptic number.

12131311311300 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 12131311311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18171402893280).

12131311311300 is an abundant number, since it is smaller than the sum of its proper divisors (24211494475260).

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

12131311311300 is a wasteful number, since it uses less digits than its factorization.

12131311311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249510 (or 1249503 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 12131311311300 its reverse (311311313121), we get a palindrome (12442622624421).

The spelling of 12131311311300 in words is "twelve trillion, one hundred thirty-one billion, three hundred eleven million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1117 1450 1740 2175 2234 2900 3351 4350 4468 5585 6702 8700 11170 13404 16755 22340 27925 32393 33510 55850 64786 67020 83775 97179 111700 129572 161965 167550 194358 323930 335100 388716 485895 647860 809825 971790 1248347 1619650 1943580 2429475 2496694 3239300 3745041 4858950 4993388 6241735 7490082 9717900 12483470 14980164 18725205 24966940 31208675 36202063 37450410 62417350 72404126 74900820 93626025 108606189 124834700 144808252 181010315 187252050 217212378 362020630 374504100 434424756 543030945 724041260 905051575 1086061890 1394403599 1810103150 2172123780 2715154725 2788807198 3620206300 4183210797 5430309450 5577614396 6972017995 8366421594 10860618900 13944035990 16732843188 20916053985 27888071980 34860089975 40437704371 41832107970 69720179950 80875408742 83664215940 104580269925 121313113113 139440359900 161750817484 202188521855 209160539850 242626226226 404377043710 418321079700 485252452452 606565565565 808754087420 1010942609275 1213131131130 2021885218550 2426262262260 3032827827825 4043770437100 6065655655650 12131311311300