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13233210210330 = 23511197659308887
BaseRepresentation
bin1100000010010001100011…
…0010110011100000011010
31201212002020011122200211220
43000210120302303200122
53213303103303212310
644051130340432510
72534032166601135
oct300443062634032
951762204580756
1013233210210330
11424219a1a1510
1215988273a8736
1374cb6a474706
1433a6c2a3721c
1517e35d49d670
hexc0918cb381a

13233210210330 has 128 divisors (see below), whose sum is σ = 34875778037760. Its totient is φ = 3186912771840.

The previous prime is 13233210210307. The next prime is 13233210210359. The reversal of 13233210210330 is 3301201233231.

It is a self number, because there is not a number n which added to its sum of digits gives 13233210210330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42687147 + ... + 42996033.

It is an arithmetic number, because the mean of its divisors is an integer number (272467015920).

Almost surely, 213233210210330 is an apocalyptic number.

13233210210330 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 13233210210330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437889018880).

13233210210330 is an abundant number, since it is smaller than the sum of its proper divisors (21642567827430).

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

13233210210330 is a wasteful number, since it uses less digits than its factorization.

13233210210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309764.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13233210210330 its reverse (3301201233231), we get a palindrome (16534411443561).

The spelling of 13233210210330 in words is "thirteen trillion, two hundred thirty-three billion, two hundred ten million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 197 330 394 591 659 985 1182 1318 1970 1977 2167 2955 3295 3954 4334 5910 6501 6590 7249 9885 10835 13002 14498 19770 21670 21747 32505 36245 43494 65010 72490 108735 129823 217470 259646 308887 389469 617774 649115 778938 926661 1298230 1428053 1544435 1853322 1947345 2856106 3088870 3397757 3894690 4284159 4633305 6795514 7140265 8568318 9266610 10193271 14280530 16988785 20386542 21420795 33977570 42841590 50966355 60850739 101932710 121701478 182552217 203556533 304253695 365104434 407113066 608507390 610669599 669358129 912761085 1017782665 1221339198 1338716258 1825522170 2008074387 2035565330 2239121863 3053347995 3346790645 4016148774 4478243726 6106695990 6693581290 6717365589 10040371935 11195609315 13434731178 20080743870 22391218630 33586827945 40100637001 67173655890 80201274002 120301911003 200503185005 240603822006 401006370010 441107007011 601509555015 882214014022 1203019110030 1323321021033 2205535035055 2646642042066 4411070070110 6616605105165 13233210210330