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13233330324 = 223223431372713
BaseRepresentation
bin11000101001100010…
…01001100010010100
31021011020211211111100
430110301021202110
5204100213032244
610025044110100
7645635310654
oct142461114224
937136754440
1013233330324
115680962a35
122693995330
13132b828a96
148d7746364
15526b91b69
hex314c49894

13233330324 has 144 divisors (see below), whose sum is σ = 35991027072. Its totient is φ = 4089609216.

The previous prime is 13233330289. The next prime is 13233330343. The reversal of 13233330324 is 42303333231.

It is a happy number.

13233330324 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 330 + 324 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4876392 + ... + 4879104.

It is an arithmetic number, because the mean of its divisors is an integer number (249937688).

Almost surely, 213233330324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233330324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995513536).

13233330324 is an abundant number, since it is smaller than the sum of its proper divisors (22757696748).

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

13233330324 is a wasteful number, since it uses less digits than its factorization.

13233330324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 13233330324 its reverse (42303333231), we get a palindrome (55536663555).

The spelling of 13233330324 in words is "thirteen billion, two hundred thirty-three million, three hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 137 138 172 207 258 274 276 387 411 414 516 548 774 822 828 989 1233 1548 1644 1978 2466 2713 2967 3151 3956 4932 5426 5891 5934 6302 8139 8901 9453 10852 11782 11868 12604 16278 17673 17802 18906 23564 24417 28359 32556 35346 35604 37812 48834 53019 56718 62399 70692 97668 106038 113436 116659 124798 135493 187197 212076 233318 249596 270986 349977 371681 374394 406479 466636 541972 561591 699954 743362 748788 812958 1049931 1115043 1123182 1219437 1399908 1486724 1625916 2099862 2230086 2246364 2438874 2683157 3345129 4199724 4460172 4877748 5366314 6690258 8049471 8548663 10732628 13380516 15982283 16098942 17097326 24148413 25645989 31964566 32197884 34194652 47946849 48296826 51291978 63929132 76937967 95893698 96593652 102583956 143840547 153875934 191787396 287681094 307751868 367592509 575362188 735185018 1102777527 1470370036 2205555054 3308332581 4411110108 6616665162 13233330324