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13221232012230 = 23511563101370249
BaseRepresentation
bin1100000001100100111011…
…0101100110101111000110
31201210221022101120012002020
43000121032311212233012
53213104040343342410
644041430010224010
72533126311566604
oct300311665465706
951727271505066
1013221232012230
114238102880a40
121596443a25006
1374b9ab9a4528
14339ca7c92874
1517ddabad7a70
hexc064ed66bc6

13221232012230 has 128 divisors (see below), whose sum is σ = 34711799616000. Its totient is φ = 3196250280960.

The previous prime is 13221232012213. The next prime is 13221232012249. The reversal of 13221232012230 is 3221023212231.

13221232012230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13221232012230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188170146 + ... + 188240394.

It is an arithmetic number, because the mean of its divisors is an integer number (271185934500).

Almost surely, 213221232012230 is an apocalyptic number.

13221232012230 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 13221232012230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355899808000).

13221232012230 is an abundant number, since it is smaller than the sum of its proper divisors (21490567603770).

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

13221232012230 is a wasteful number, since it uses less digits than its factorization.

13221232012230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71846.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13221232012230 its reverse (3221023212231), we get a palindrome (16442255224461).

The spelling of 13221232012230 in words is "thirteen trillion, two hundred twenty-one billion, two hundred thirty-two million, twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 563 1013 1126 1689 2026 2815 3039 3378 5065 5630 6078 6193 8445 10130 11143 12386 15195 16890 18579 22286 30390 30965 33429 37158 55715 61930 66858 70249 92895 111430 140498 167145 185790 210747 334290 351245 421494 570319 702490 772739 1053735 1140638 1545478 1710957 2107470 2318217 2851595 3421914 3863695 4636434 5703190 6273509 7727390 8554785 11591085 12547018 17109570 18820527 23182170 31367545 37641054 39550187 62735090 71162237 79100374 94102635 118650561 142324474 188205270 197750935 213486711 237301122 355811185 395501870 426973422 435052057 593252805 711622370 782784607 870104114 1067433555 1186505610 1305156171 1565569214 2134867110 2175260285 2348353821 2610312342 3913923035 4350520570 4696707642 6525780855 7827846070 11741769105 13051561710 23483538210 40064339431 80128678862 120193018293 200321697155 240386036586 400643394310 440707733741 600965091465 881415467482 1201930182930 1322123201223 2203538668705 2644246402446 4407077337410 6610616006115 13221232012230