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13221131220 = 223251144315073
BaseRepresentation
bin11000101000000101…
…00111001111010100
31021010101220001110200
430110002213033110
5204034102144340
610023530420500
7645426522033
oct142402471724
937111801420
1013221131220
115674a90630
12268b891730
13132914728b
148d5c8c71a
15525a82330
hex3140a73d4

13221131220 has 144 divisors (see below), whose sum is σ = 43851592512. Its totient is φ = 3197675520.

The previous prime is 13221131219. The next prime is 13221131237. The reversal of 13221131220 is 2213112231.

13221131220 is a `hidden beast` number, since 1 + 322 + 11 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13221131193 and 13221131202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869604 + ... + 884676.

It is an arithmetic number, because the mean of its divisors is an integer number (304524948).

Almost surely, 213221131220 is an apocalyptic number.

13221131220 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 13221131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21925796256).

13221131220 is an abundant number, since it is smaller than the sum of its proper divisors (30630461292).

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

13221131220 is a wasteful number, since it uses less digits than its factorization.

13221131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13221131220 its reverse (2213112231), we get a palindrome (15434243451).

It can be divided in two parts, 13221 and 131220, that added together give a palindrome (144441).

The spelling of 13221131220 in words is "thirteen billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 443 495 660 886 990 1329 1772 1980 2215 2658 3987 4430 4873 5316 6645 7974 8860 9746 13290 14619 15073 15948 19492 19935 24365 26580 29238 30146 39870 43857 45219 48730 58476 60292 73095 75365 79740 87714 90438 97460 135657 146190 150730 165803 175428 180876 219285 226095 271314 292380 301460 331606 438570 452190 497409 542628 663212 678285 829015 877140 904380 994818 1356570 1492227 1658030 1989636 2487045 2713140 2984454 3316060 4974090 5968908 6677339 7461135 9948180 13354678 14922270 20032017 26709356 29844540 33386695 40064034 60096051 66773390 73450729 80128068 100160085 120192102 133546780 146901458 200320170 220352187 240384204 293802916 300480255 367253645 400640340 440704374 600960510 661056561 734507290 881408748 1101760935 1201921020 1322113122 1469014580 2203521870 2644226244 3305282805 4407043740 6610565610 13221131220