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13112221303000 = 2353197277240287
BaseRepresentation
bin1011111011001110110101…
…0010110000000011011000
31201102111221020200101112001
42332303231102300003120
53204312312123144000
643515401000330344
72522220032055031
oct276635522600330
951374836611461
1013112221303000
1141a59530aa706
1215792a04739b4
137416284351a1
143348c622da88
1517b12b7a846a
hexbeced4b00d8

13112221303000 has 128 divisors (see below), whose sum is σ = 30949805652480. Its totient is φ = 5199404582400.

The previous prime is 13112221302991. The next prime is 13112221303009. The reversal of 13112221303000 is 30312221131.

13112221303000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13112221302991) and next prime (13112221303009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112221303009) 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, 54448857 + ... + 54689143.

It is an arithmetic number, because the mean of its divisors is an integer number (241795356660).

Almost surely, 213112221303000 is an apocalyptic number.

13112221303000 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 13112221303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474902826240).

13112221303000 is an abundant number, since it is smaller than the sum of its proper divisors (17837584349480).

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

13112221303000 is a wasteful number, since it uses less digits than its factorization.

13112221303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240782 (or 240768 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13112221303000 its reverse (30312221131), we get a palindrome (13142533524131).

The spelling of 13112221303000 in words is "thirteen trillion, one hundred twelve billion, two hundred twenty-one million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 277 394 500 554 788 985 1000 1108 1385 1576 1970 2216 2770 3940 4925 5540 6925 7880 9850 11080 13850 19700 24625 27700 34625 39400 49250 54569 55400 69250 98500 109138 138500 197000 218276 240287 272845 277000 436552 480574 545690 961148 1091380 1201435 1364225 1922296 2182760 2402870 2728450 4805740 5456900 6007175 6821125 9611480 10913800 12014350 13642250 24028700 27284500 30035875 47336539 48057400 54569000 60071750 66559499 94673078 120143500 133118998 189346156 236682695 240287000 266237996 332797495 378692312 473365390 532475992 665594990 946730780 1183413475 1331189980 1663987475 1893461560 2366826950 2662379960 3327974950 4733653900 5917067375 6655949900 8319937375 9467307800 11834134750 13112221303 13311899800 16639874750 23668269500 26224442606 33279749500 47336539000 52448885212 65561106515 66559499000 104897770424 131122213030 262244426060 327805532575 524488852120 655611065150 1311222130300 1639027662875 2622444260600 3278055325750 6556110651500 13112221303000