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13221333320 = 23513229111029
BaseRepresentation
bin11000101000000110…
…11000100101001000
31021010102021022200212
430110003120211020
5204034130131240
610023535020252
7645431323166
oct142403304510
937112238625
1013221333320
115675109458
12268b96a688
1313291b8270
148d5d02236
15525ac2165
hex3140d8948

13221333320 has 64 divisors (see below), whose sum is σ = 32176494000. Its totient is φ = 4860361728.

The previous prime is 13221333233. The next prime is 13221333361. The reversal of 13221333320 is 2333312231.

It can be written as a sum of positive squares in 8 ways, for example, as 3272068804 + 9949264516 = 57202^2 + 99746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63566 + ... + 174594.

Almost surely, 213221333320 is an apocalyptic number.

13221333320 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 13221333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088247000).

13221333320 is an abundant number, since it is smaller than the sum of its proper divisors (18955160680).

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

13221333320 is a wasteful number, since it uses less digits than its factorization.

13221333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111282 (or 111278 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13221333320 its reverse (2333312231), we get a palindrome (15554645551).

The spelling of 13221333320 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 458 520 916 1145 1832 2290 2977 4580 5954 9160 11908 14885 23816 29770 59540 111029 119080 222058 444116 555145 888232 1110290 1443377 2220580 2886754 4441160 5773508 7216885 11547016 14433770 25425641 28867540 50851282 57735080 101702564 127128205 203405128 254256410 330533333 508512820 661066666 1017025640 1322133332 1652666665 2644266664 3305333330 6610666660 13221333320