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13111110220 = 22513435632083
BaseRepresentation
bin11000011010111101…
…11010101001001100
31020211201212102000211
430031132322221030
5203322421011340
610005000332204
7642622412065
oct141536725114
936751772024
1013111110220
11561897518a
12265aa74064
13130c4054b0
148c540d56c
1551b09d5ea
hex30d7baa4c

13111110220 has 96 divisors (see below), whose sum is σ = 30409327872. Its totient is φ = 4717778688.

The previous prime is 13111110211. The next prime is 13111110283. The reversal of 13111110220 is 2201111131.

It is a happy number.

It is a super-2 number, since 2×131111102202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 13111110220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6293299 + ... + 6295381.

It is an arithmetic number, because the mean of its divisors is an integer number (316763832).

Almost surely, 213111110220 is an apocalyptic number.

13111110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204663936).

13111110220 is an abundant number, since it is smaller than the sum of its proper divisors (17298217652).

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

13111110220 is a wasteful number, since it uses less digits than its factorization.

13111110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 13111110220 its reverse (2201111131), we get a palindrome (15312221351).

The spelling of 13111110220 in words is "thirteen billion, one hundred eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 563 860 1118 1126 2083 2236 2252 2795 2815 4166 5590 5630 7319 8332 10415 11180 11260 14638 20830 24209 27079 29276 36595 41660 48418 54158 73190 89569 96836 108316 121045 135395 146380 179138 242090 270790 314717 358276 447845 484180 541580 629434 895690 1164397 1172729 1258868 1573585 1791380 2328794 2345458 3147170 4657588 4690916 5821985 5863645 6294340 11643970 11727290 15245477 23287940 23454580 30490954 50427347 60981908 76227385 100854694 152454770 201709388 252136735 304909540 504273470 655555511 1008546940 1311111022 2622222044 3277777555 6555555110 13111110220