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12131242400310 = 23511311954360679
BaseRepresentation
bin1011000010001000011001…
…1001001101101000110110
31120221201212010210211020120
42300202012121031220312
53042224241023302220
641445003230112410
72361311332011135
oct260420631155066
946851763724216
1012131242400310
11395791608a750
12143b14864b706
1369cc81ab2b17
142dd22609391c
15160864d97a40
hexb088664da36

12131242400310 has 128 divisors (see below), whose sum is σ = 32788590428160. Its totient is φ = 2845846742400.

The previous prime is 12131242400287. The next prime is 12131242400323. The reversal of 12131242400310 is 1300424213121.

It is a super-2 number, since 2×121312424003102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199894551 + ... + 199955229.

It is an arithmetic number, because the mean of its divisors is an integer number (256160862720).

Almost surely, 212131242400310 is an apocalyptic number.

12131242400310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131242400310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394295214080).

12131242400310 is an abundant number, since it is smaller than the sum of its proper divisors (20657348027850).

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

12131242400310 is a wasteful number, since it uses less digits than its factorization.

12131242400310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80274.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12131242400310 its reverse (1300424213121), we get a palindrome (13431666613431).

The spelling of 12131242400310 in words is "twelve trillion, one hundred thirty-one billion, two hundred forty-two million, four hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 19543 39086 58629 60679 97715 117258 121358 182037 195430 214973 293145 303395 364074 429946 586290 605833 606790 644919 667469 910185 1074865 1211666 1289838 1334938 1817499 1820370 1881049 2002407 2149730 3029165 3224595 3337345 3634998 3762098 4004814 5643147 6058330 6449190 6664163 6674690 9087495 9405245 10012035 11286294 13328326 18174990 18810490 19992489 20024070 20691539 28215735 33320815 39984978 41383078 56431470 62074617 66641630 99962445 103457695 124149234 199924890 206915390 310373085 620746170 1185849697 2371699394 3557549091 5929248485 7115098182 11858496970 13044346667 17787745455 26088693334 35575490910 36761340607 39133040001 65221733335 73522681214 78266080002 110284021821 130443466670 183806703035 195665200005 220568043642 367613406070 391330400010 404374746677 551420109105 808749493354 1102840218210 1213124240031 2021873733385 2426248480062 4043747466770 6065621200155 12131242400310