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13322243433330 = 232513101112737949
BaseRepresentation
bin1100000111011101001110…
…0101100110001101110010
31202011121001001101001020200
43001313103211212031302
53221232423304331310
644200053143420030
72543333416524636
oct301672345461562
952147031331220
1013322243433330
114276a28120747
1215b1b34454616
13758388bbc7a0
14340b2b394dc6
1518181ea0c9c0
hexc1dd3966372

13322243433330 has 96 divisors (see below), whose sum is σ = 37671611468400. Its totient is φ = 3246852902400.

The previous prime is 13322243433277. The next prime is 13322243433341. The reversal of 13322243433330 is 3333434222331.

13322243433330 is a `hidden beast` number, since 1 + 3 + 32 + 224 + 343 + 33 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10141403286249 + 3180840147081 = 3184557^2 + 1783491^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56250805 + ... + 56487144.

Almost surely, 213322243433330 is an apocalyptic number.

13322243433330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13322243433330 is an abundant number, since it is smaller than the sum of its proper divisors (24349368035070).

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

13322243433330 is a wasteful number, since it uses less digits than its factorization.

13322243433330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112738076 (or 112738073 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 13322243433330 its reverse (3333434222331), we get a palindrome (16655677655661).

The spelling of 13322243433330 in words is "thirteen trillion, three hundred twenty-two billion, two hundred forty-three million, four hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1170 1313 1515 1818 2626 3030 3939 4545 6565 7878 9090 11817 13130 19695 23634 39390 59085 118170 112737949 225475898 338213847 563689745 676427694 1014641541 1127379490 1465593337 1691069235 2029283082 2931186674 3382138470 4396780011 5073207705 7327966685 8793560022 10146415410 11386532849 13190340033 14655933370 21983900055 22773065698 26380680066 34159598547 43967800110 56932664245 65951700165 68319197094 102478795641 113865328490 131903400330 148024927037 170797992735 204957591282 296049854074 341595985470 444074781111 512393978205 740124635185 888149562222 1024787956410 1332224343333 1480249270370 2220373905555 2664448686666 4440747811110 6661121716665 13322243433330