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13221002328 = 2332934675479
BaseRepresentation
bin11000101000000100…
…00111110001011000
31021010101122111122220
430110002013301120
5204034034033303
610023523544040
7645425444202
oct142402076130
937111574586
1013221002328
115674a02806
12268b82b020
131329100701
148d5c57772
15525a59053
hex314087c58

13221002328 has 64 divisors (see below), whose sum is σ = 34208352000. Its totient is φ = 4253031552.

The previous prime is 13221002317. The next prime is 13221002329. The reversal of 13221002328 is 82320012231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13221002298 and 13221002307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221002329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2410293 + ... + 2415771.

It is an arithmetic number, because the mean of its divisors is an integer number (534505500).

Almost surely, 213221002328 is an apocalyptic number.

It is an amenable number.

13221002328 is an abundant number, since it is smaller than the sum of its proper divisors (20987349672).

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

13221002328 is a wasteful number, since it uses less digits than its factorization.

13221002328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13221002328 its reverse (82320012231), we get a palindrome (95541014559).

The spelling of 13221002328 in words is "thirteen billion, two hundred twenty-one million, two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 3467 5479 6934 10401 10958 13868 16437 20802 21916 27736 32874 41604 43832 65748 83208 100543 131496 158891 201086 301629 317782 402172 476673 603258 635564 804344 953346 1206516 1271128 1906692 2413032 3813384 18995693 37991386 56987079 75982772 113974158 151965544 227948316 455896632 550875097 1101750194 1652625291 2203500388 3305250582 4407000776 6610501164 13221002328