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13303303310332 = 22729353391111867
BaseRepresentation
bin1100000110010110101010…
…1010110000101111111100
31202002210011002012002220201
43001211222222300233330
53220430131121412312
644143241515053244
72542063154244310
oct301455252605774
952083132162821
1013303303310332
1142699989a1a32
1215aa329441224
1375665ac88009
1433dc51b65b40
151810b1d4e557
hexc196aab0bfc

13303303310332 has 96 divisors (see below), whose sum is σ = 27611431787520. Its totient is φ = 5487354808320.

The previous prime is 13303303310309. The next prime is 13303303310347. The reversal of 13303303310332 is 23301330330331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13303303310332.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1121027463 + ... + 1121039329.

It is an arithmetic number, because the mean of its divisors is an integer number (287619081120).

Almost surely, 213303303310332 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 13303303310332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805715893760).

13303303310332 is an abundant number, since it is smaller than the sum of its proper divisors (14308128477188).

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

13303303310332 is a wasteful number, since it uses less digits than its factorization.

13303303310332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16171 (or 16169 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 13303303310332 its reverse (23301330330331), we get a palindrome (36604633640663).

The spelling of 13303303310332 in words is "thirteen trillion, three hundred three billion, three hundred three million, three hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 353 406 706 812 1412 2471 3911 4942 7822 9884 10237 11867 15644 20474 23734 27377 40948 47468 54754 71659 83069 109508 113419 143318 166138 226838 286636 332276 344143 453676 688286 793933 1376572 1380583 1587866 2409001 2761166 3175732 4189051 4818002 5522332 8378102 9636004 9664081 16756204 19328162 29323357 38656324 40036907 46411837 58646714 80073814 92823674 117293428 121482479 160147628 185647348 242964958 280258349 324882859 485929916 560516698 649765718 850377353 1121033396 1299531436 1345943273 1700754706 2691886546 3401509412 5383773092 9421602911 16383378461 18843205822 32766756922 37686411644 65533513844 114683649227 229367298454 458734596908 475117975369 950235950738 1900471901476 3325825827583 6651651655166 13303303310332