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12310103203000 = 235359233989203
BaseRepresentation
bin1011001100100010101101…
…0101000001110010111000
31121120211112020222000120021
42303020223111001302320
53103142042404444000
642103103333540224
72410242555522241
oct263105325016270
947524466860507
1012310103203000
113a1675a375049
1214699447a4674
136b3ab7701305
14307b52869cc8
1516533257611a
hexb322b541cb8

12310103203000 has 128 divisors (see below), whose sum is σ = 29306725344000. Its totient is φ = 4838459203200.

The previous prime is 12310103202953. The next prime is 12310103203007. The reversal of 12310103203000 is 30230101321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310103203007) 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, 137956399 + ... + 138045601.

It is an arithmetic number, because the mean of its divisors is an integer number (228958791750).

Almost surely, 212310103203000 is an apocalyptic number.

12310103203000 is a gapful number since it is divisible by the number (10) 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 12310103203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14653362672000).

12310103203000 is an abundant number, since it is smaller than the sum of its proper divisors (16996622141000).

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

12310103203000 is a wasteful number, since it uses less digits than its factorization.

12310103203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91622 (or 91608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12310103203000 its reverse (30230101321), we get a palindrome (12340333304321).

The spelling of 12310103203000 in words is "twelve trillion, three hundred ten billion, one hundred three million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2339 2360 2950 4678 5900 7375 9356 11695 11800 14750 18712 23390 29500 46780 58475 59000 89203 93560 116950 138001 178406 233900 276002 292375 356812 446015 467800 552004 584750 690005 713624 892030 1104008 1169500 1380010 1784060 2230075 2339000 2760020 3450025 3568120 4460150 5262977 5520040 6900050 8920300 10525954 11150375 13800100 17250125 17840600 21051908 22300750 26314885 27600200 34500250 42103816 44601500 52629770 69000500 89203000 105259540 131574425 138001000 208645817 210519080 263148850 417291634 526297700 657872125 834583268 1043229085 1052595400 1315744250 1669166536 2086458170 2631488500 4172916340 5216145425 5262977000 8345832680 10432290850 12310103203 20864581700 24620206406 26080727125 41729163400 49240412812 52161454250 61550516015 98480825624 104322908500 123101032030 208645817000 246202064060 307752580075 492404128120 615505160150 1231010320300 1538762900375 2462020640600 3077525800750 6155051601500 12310103203000