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13221213120 = 263351530233
BaseRepresentation
bin11000101000000101…
…11011001111000000
31021010102001012211000
430110002323033000
5204034112304440
610023532252000
7645430312563
oct142402731700
937112035730
1013221213120
115675037115
12268b911000
13132917563b
148d5cb04da
15525a9b730
hex3140bb3c0

13221213120 has 112 divisors (see below), whose sum is σ = 46641532320. Its totient is φ = 3525654528.

The previous prime is 13221213077. The next prime is 13221213127. The reversal of 13221213120 is 2131212231.

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 = 13221213093 and 13221213102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756477 + ... + 773756.

Almost surely, 213221213120 is an apocalyptic number.

13221213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221213120 is an abundant number, since it is smaller than the sum of its proper divisors (33420319200).

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

13221213120 is a wasteful number, since it uses less digits than its factorization.

13221213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530259 (or 1530243 counting only the distinct ones).

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

Adding to 13221213120 its reverse (2131212231), we get a palindrome (15352425351).

The spelling of 13221213120 in words is "thirteen billion, two hundred twenty-one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 1530233 3060466 4590699 6120932 7651165 9181398 12241864 13772097 15302330 18362796 22953495 24483728 27544194 30604660 36725592 41316291 45906990 48967456 55088388 61209320 68860485 73451184 82632582 91813980 97934912 110176776 122418640 137720970 146902368 165265164 183627960 206581455 220353552 244837280 275441940 293804736 330530328 367255920 413162910 440707104 489674560 550883880 661060656 734511840 826325820 881414208 1101767760 1322121312 1469023680 1652651640 2203535520 2644242624 3305303280 4407071040 6610606560 13221213120