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12313012011000 = 2335314783277639
BaseRepresentation
bin1011001100101101100010…
…1101001111111111111000
31121121010000222101202222220
42303023120231033333320
53103214022033323000
642104304123444040
72410404626136111
oct263133055177770
947533028352886
1012313012011000
113a17a1230a5a8
12146a416986620
136b415c23718c
14307d4acd5208
15165452b051a0
hexb32d8b4fff8

12313012011000 has 128 divisors (see below), whose sum is σ = 38419334553600. Its totient is φ = 3283235932800.

The previous prime is 12313012010993. The next prime is 12313012011019. The reversal of 12313012011000 is 11021031321.

It is a happy number.

It is a super-2 number, since 2×123130120110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 44210181 + ... + 44487819.

It is an arithmetic number, because the mean of its divisors is an integer number (300151051200).

Almost surely, 212313012011000 is an apocalyptic number.

12313012011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313012011000 is an abundant number, since it is smaller than the sum of its proper divisors (26106322542600).

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

12313012011000 is a wasteful number, since it uses less digits than its factorization.

12313012011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292446 (or 292432 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12313012011000 its reverse (11021031321), we get a palindrome (12324033042321).

The spelling of 12313012011000 in words is "twelve trillion, three hundred thirteen billion, twelve million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 14783 29566 44349 59132 73915 88698 118264 147830 177396 221745 277639 295660 354792 369575 443490 555278 591320 739150 832917 886980 1108725 1110556 1388195 1478300 1665834 1773960 1847875 2217450 2221112 2776390 2956600 3331668 3695750 4164585 4434900 5543625 5552780 6663336 6940975 7391500 8329170 8869800 11087250 11105560 13881950 14783000 16658340 20822925 22174500 27763900 33316680 34704875 41645850 44349000 55527800 69409750 83291700 104114625 138819500 166583400 208229250 277639000 416458500 832917000 4104337337 8208674674 12313012011 16417349348 20521686685 24626024022 32834698696 41043373370 49252048044 61565060055 82086746740 98504096088 102608433425 123130120110 164173493480 205216866850 246260240220 307825300275 410433733700 492520480440 513042167125 615650600550 820867467400 1026084334250 1231301201100 1539126501375 2052168668500 2462602402200 3078253002750 4104337337000 6156506005500 12313012011000