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12313331002000 = 245374718713269
BaseRepresentation
bin1011001100101110101110…
…1110000110101010010000
31121121010212012122012101101
42303023223232012222100
53103220200214031000
642104355520514144
72410415551413040
oct263135356065220
947533765565341
1012313331002000
113a18066385226
12146a4a577b954
136b41b0354052
14307d7b40d720
15165470b15e6a
hexb32ebb86a90

12313331002000 has 160 divisors (see below), whose sum is σ = 34750991508480. Its totient is φ = 4131889574400.

The previous prime is 12313331001989. The next prime is 12313331002009. The reversal of 12313331002000 is 20013331321.

12313331002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12313331002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8698635 + ... + 10014634.

It is an arithmetic number, because the mean of its divisors is an integer number (217193696928).

Almost surely, 212313331002000 is an apocalyptic number.

12313331002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313331002000 is an abundant number, since it is smaller than the sum of its proper divisors (22437660506480).

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

12313331002000 is a wasteful number, since it uses less digits than its factorization.

12313331002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18713346 (or 18713330 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12313331002000 its reverse (20013331321), we get a palindrome (12333344333321).

The spelling of 12313331002000 in words is "twelve trillion, three hundred thirteen billion, three hundred thirty-one million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 125 140 175 188 200 235 250 280 329 350 376 400 470 500 560 658 700 752 875 940 1000 1175 1316 1400 1645 1750 1880 2000 2350 2632 2800 3290 3500 3760 4700 5264 5875 6580 7000 8225 9400 11750 13160 14000 16450 18800 23500 26320 32900 41125 47000 65800 82250 94000 131600 164500 329000 658000 18713269 37426538 74853076 93566345 130992883 149706152 187132690 261985766 299412304 374265380 467831725 523971532 654964415 748530760 879523643 935663450 1047943064 1309928830 1497061520 1759047286 1871326900 2095886128 2339158625 2619857660 3274822075 3518094572 3742653800 4397618215 4678317250 5239715320 6156665501 6549644150 7036189144 7485307600 8795236430 9356634500 10479430640 12313331002 13099288300 14072378288 16374110375 17590472860 18713269000 21988091075 24626662004 26198576600 30783327505 32748220750 35180945720 37426538000 43976182150 49253324008 52397153200 61566655010 65496441500 70361891440 87952364300 98506648016 109940455375 123133310020 130992883000 153916637525 175904728600 219880910750 246266620040 261985766000 307833275050 351809457200 439761821500 492533240080 615666550100 769583187625 879523643000 1231333100200 1539166375250 1759047286000 2462666200400 3078332750500 6156665501000 12313331002000