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13112100222 = 231319233131229
BaseRepresentation
bin11000011011000101…
…01100010101111110
31020211210201201001120
430031202230111332
5203323144201342
610005033451410
7642634004304
oct141542542576
936753651046
1013112100222
115619490a71
12265b270b66
13130c690cb0
148c55ca274
1551b1e6aec
hex30d8ac57e

13112100222 has 128 divisors (see below), whose sum is σ = 31144780800. Its totient is φ = 3641324544.

The previous prime is 13112100179. The next prime is 13112100247. The reversal of 13112100222 is 22200121131.

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, 10668304 + ... + 10669532.

It is an arithmetic number, because the mean of its divisors is an integer number (243318600).

Almost surely, 213112100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572390400).

13112100222 is an abundant number, since it is smaller than the sum of its proper divisors (18032680578).

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

13112100222 is a wasteful number, since it uses less digits than its factorization.

13112100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13112100222 its reverse (22200121131), we get a palindrome (35312221353).

The spelling of 13112100222 in words is "thirteen billion, one hundred twelve million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 313 437 494 598 626 741 874 897 939 1229 1311 1482 1794 1878 2458 2622 3687 4069 5681 5947 7199 7374 8138 11362 11894 12207 14398 15977 17043 17841 21597 23351 24414 28267 31954 34086 35682 43194 46702 47931 56534 70053 77311 84801 93587 95862 136781 140106 154622 169602 187174 231933 273562 280761 303563 367471 384677 410343 463866 537073 561522 607126 734942 769354 820686 910689 1074146 1102413 1154031 1611219 1778153 1821378 2204826 2308062 3222438 3556306 5000801 5334459 6981949 7308863 8847571 10001602 10668918 13963898 14617726 15002403 17695142 20945847 21926589 26542713 30004806 41891694 43853178 53085426 95015219 115018423 168103849 190030438 230036846 285045657 336207698 345055269 504311547 570091314 690110538 1008623094 2185350037 4370700074 6556050111 13112100222