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13221010110 = 2357117180611
BaseRepresentation
bin11000101000000100…
…01001101010111110
31021010101122220100010
430110002021222332
5204034034310420
610023524044050
7645425505660
oct142402115276
937111586303
1013221010110
115674a08640
12268b833626
131329104109
148d5c5a530
15525a5b4e0
hex314089abe

13221010110 has 128 divisors (see below), whose sum is σ = 40117690368. Its totient is φ = 2708496000.

The previous prime is 13221010079. The next prime is 13221010111. The reversal of 13221010110 is 1101012231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221010111) 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, 123705 + ... + 204315.

It is an arithmetic number, because the mean of its divisors is an integer number (313419456).

Almost surely, 213221010110 is an apocalyptic number.

13221010110 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 13221010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058845184).

13221010110 is an abundant number, since it is smaller than the sum of its proper divisors (26896680258).

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

13221010110 is a wasteful number, since it uses less digits than its factorization.

13221010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80710.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13221010110 its reverse (1101012231), we get a palindrome (14322022341).

The spelling of 13221010110 in words is "thirteen billion, two hundred twenty-one million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 71 77 105 110 142 154 165 210 213 231 330 355 385 426 462 497 710 770 781 994 1065 1155 1491 1562 2130 2310 2343 2485 2982 3905 4686 4970 5467 7455 7810 10934 11715 14910 16401 23430 27335 32802 54670 80611 82005 161222 164010 241833 403055 483666 564277 806110 886721 1128554 1209165 1692831 1773442 2418330 2660163 2821385 3385662 4433605 5320326 5642770 5723381 6207047 8464155 8867210 11446762 12414094 13300815 16928310 17170143 18621141 26601630 28616905 31035235 34340286 37242282 40063667 57233810 62070470 62957191 80127334 85850715 93105705 120191001 125914382 171701430 186211410 188871573 200318335 240382002 314785955 377743146 400636670 440700337 600955005 629571910 881400674 944357865 1201910010 1322101011 1888715730 2203501685 2644202022 4407003370 6610505055 13221010110