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13221002322 = 2321125322161
BaseRepresentation
bin11000101000000100…
…00111110001010010
31021010101122111122200
430110002013301102
5204034034033242
610023523544030
7645425444163
oct142402076122
937111574580
1013221002322
115674a02800
12268b82b016
1313291006c8
148d5c5776a
15525a5904c
hex314087c52

13221002322 has 108 divisors (see below), whose sum is σ = 32106523722. Its totient is φ = 3928953600.

The previous prime is 13221002317. The next prime is 13221002329. The reversal of 13221002322 is 22320012231.

13221002322 is a `hidden beast` number, since 132 + 210 + 0 + 2 + 322 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13089876921 + 131125401 = 114411^2 + 11451^2 .

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 = 13221002295 and 13221002304.

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 53 ways as a sum of consecutive naturals, for example, 6116922 + ... + 6119082.

Almost surely, 213221002322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221002322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053261861).

13221002322 is an abundant number, since it is smaller than the sum of its proper divisors (18885521400).

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

13221002322 is a wasteful number, since it uses less digits than its factorization.

13221002322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13221002322 its reverse (22320012231), we get a palindrome (35541014553).

Subtracting 13221002322 from its reverse (22320012231), we obtain a palindrome (9099009909).

The spelling of 13221002322 in words is "thirteen billion, two hundred twenty-one million, two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 477 583 726 954 1089 1166 1749 2161 2178 2809 3498 4322 5247 5618 6413 6483 8427 10494 12826 12966 16854 19239 19449 23771 25281 30899 38478 38898 47542 50562 57717 61798 71313 92697 114533 115434 142626 185394 213939 229066 261481 278091 339889 343599 427878 522962 556182 679778 687198 784443 1019667 1030797 1259863 1568886 2039334 2061594 2353329 2519726 3059001 3779589 4706658 6070249 6118002 7559178 11338767 12140498 13858493 18210747 22677534 27716986 36421494 41575479 54632241 66772739 83150958 109264482 124726437 133545478 200318217 249452874 400636434 600954651 734500129 1201909302 1469000258 2203500387 4407000774 6610501161 13221002322