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13221332203110 = 23523821102122859
BaseRepresentation
bin1100000001100101010011…
…0011110011011001100110
31201210221120101002102010120
43000121110303303121212
53213104242020444420
644041443545502410
72533131636315363
oct300312463633146
951727511072116
1013221332203110
114238154392919
1215964714a1a06
1374b9c6683b85
14339cb72d346a
1517ddb57c8d40
hexc0654cf3666

13221332203110 has 128 divisors (see below), whose sum is σ = 33185065374720. Its totient is φ = 3364843891200.

The previous prime is 13221332203067. The next prime is 13221332203111. The reversal of 13221332203110 is 1130223312231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221332203111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578374861 + ... + 578397719.

It is an arithmetic number, because the mean of its divisors is an integer number (259258323240).

Almost surely, 213221332203110 is an apocalyptic number.

13221332203110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221332203110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16592532687360).

13221332203110 is an abundant number, since it is smaller than the sum of its proper divisors (19963733171610).

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

13221332203110 is a wasteful number, since it uses less digits than its factorization.

13221332203110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24734.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13221332203110 its reverse (1130223312231), we get a palindrome (14351555515341).

The spelling of 13221332203110 in words is "thirteen trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 821 1021 1642 2042 2463 3063 4105 4926 5105 6126 8210 10210 12315 15315 18883 22859 23483 24630 30630 37766 45718 46966 56649 68577 70449 94415 113298 114295 117415 137154 140898 188830 228590 234830 283245 342885 352245 525757 566490 685770 704490 838241 1051514 1577271 1676482 2514723 2628785 3154542 4191205 5029446 5257570 7886355 8382410 12573615 15772710 18767239 19279543 23339039 25147230 37534478 38559086 46678078 56301717 57838629 70017117 93836195 96397715 112603434 115677258 116695195 140034234 187672390 192795430 233390390 281508585 289193145 350085585 431646497 536797897 563017170 578386290 700171170 863292994 1073595794 1294939491 1610393691 2158232485 2589878982 2683989485 3220787382 4316464970 5367978970 6474697455 8051968455 12949394910 16103936910 19161351019 38322702038 57484053057 95806755095 114968106114 191613510190 287420265285 440711073437 574840530570 881422146874 1322133220311 2203555367185 2644266440622 4407110734370 6610666101555 13221332203110