Search a number
-
+
131423121011112 = 233710144317483863
BaseRepresentation
bin11101111000011101010100…
…011100010111000110101000
3122020022221001021021010212120
4131320131110130113012220
5114211214022434323422
61143302540500111240
736453002311543260
oct3570352434270650
9566287037233776
10131423121011112
113896a261687367
12128a6821395520
1358441bb33a408
142464cad3967a0
15102d93c46d45c
hex7787547171a8

131423121011112 has 128 divisors (see below), whose sum is σ = 380068431759360. Its totient is φ = 37093761619200.

The previous prime is 131423121011081. The next prime is 131423121011129. The reversal of 131423121011112 is 211110121324131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225108 + ... + 16258755.

It is an arithmetic number, because the mean of its divisors is an integer number (2969284623120).

Almost surely, 2131423121011112 is an apocalyptic number.

131423121011112 is a gapful number since it is divisible by the number (12) 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 131423121011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190034215879680).

131423121011112 is an abundant number, since it is smaller than the sum of its proper divisors (248645310748248).

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

131423121011112 is a wasteful number, since it uses less digits than its factorization.

131423121011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17484423 (or 17484419 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 131423121011112 its reverse (211110121324131), we get a palindrome (342533242335243).

The spelling of 131423121011112 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, one hundred twenty-one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 443 606 707 808 886 1212 1329 1414 1772 2121 2424 2658 2828 3101 3544 4242 5316 5656 6202 8484 9303 10632 12404 16968 18606 24808 37212 44743 74424 89486 134229 178972 268458 313201 357944 536916 626402 939603 1073832 1252804 1879206 2505608 3758412 7516824 17483863 34967726 52451589 69935452 104903178 122387041 139870904 209806356 244774082 367161123 419612712 489548164 734322246 979096328 1468644492 1765870163 2937288984 3531740326 5297610489 7063480652 7745351309 10595220978 12361091141 14126961304 15490702618 21190441956 23236053927 24722182282 30981405236 37083273423 42380883912 46472107854 49444364564 54217459163 61962810472 74166546846 92944215708 98888729128 108434918326 148333093692 162652377489 185888431416 216869836652 296666187384 325304754978 433739673304 650609509956 782280482209 1301219019912 1564560964418 2346841446627 3129121928836 4693682893254 5475963375463 6258243857672 9387365786508 10951926750926 16427890126389 18774731573016 21903853501852 32855780252778 43807707003704 65711560505556 131423121011112