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12313524000 = 253531026127
BaseRepresentation
bin10110111011111000…
…10111011100100000
31011210011001211102110
423131330113130200
5200204230232000
65353505315320
7614066140611
oct133574273440
934704054373
1012313524000
115249732918
122477935b40
1312130b919b
1484b511c08
154c1051850
hex2ddf17720

12313524000 has 96 divisors (see below), whose sum is σ = 40339143936. Its totient is φ = 3283603200.

The previous prime is 12313523993. The next prime is 12313524017. The reversal of 12313524000 is 42531321.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 501064 + ... + 525063.

It is an arithmetic number, because the mean of its divisors is an integer number (420199416).

Almost surely, 212313524000 is an apocalyptic number.

12313524000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313524000 is an abundant number, since it is smaller than the sum of its proper divisors (28025619936).

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

12313524000 is a wasteful number, since it uses less digits than its factorization.

12313524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026155 (or 1026137 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 12313524000 in words is "twelve billion, three hundred thirteen million, five hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1026127 2052254 3078381 4104508 5130635 6156762 8209016 10261270 12313524 15391905 16418032 20522540 24627048 25653175 30783810 32836064 41045080 49254096 51306350 61567620 76959525 82090160 98508192 102612700 123135240 128265875 153919050 164180320 205225400 246270480 256531750 307838100 384797625 410450800 492540960 513063500 615676200 769595250 820901600 1026127000 1231352400 1539190500 2052254000 2462704800 3078381000 4104508000 6156762000 12313524000