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13331313303 = 371134111633
BaseRepresentation
bin11000110101001101…
…11011001010010111
31021102002012212212120
430122212323022113
5204300304011203
610042504151023
7651235202430
oct143246731227
937362185776
1013331313303
1157211a7000
122700768473
131345c14489
14906770487
15530598b53
hex31a9bb297

13331313303 has 64 divisors (see below), whose sum is σ = 22891244544. Its totient is φ = 6755865600.

The previous prime is 13331313299. The next prime is 13331313313. The reversal of 13331313303 is 30331313331.

It is not a de Polignac number, because 13331313303 - 22 = 13331313299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331313313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140175 + ... + 1151807.

It is an arithmetic number, because the mean of its divisors is an integer number (357675696).

Almost surely, 213331313303 is an apocalyptic number.

13331313303 is a deficient number, since it is larger than the sum of its proper divisors (9559931241).

13331313303 is a wasteful number, since it uses less digits than its factorization.

13331313303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11717 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 13331313303 its reverse (30331313331), we get a palindrome (43662626634).

The spelling of 13331313303 in words is "thirteen billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred three".

Divisors: 1 3 7 11 21 33 41 77 121 123 231 287 363 451 847 861 1331 1353 2541 3157 3993 4961 9317 9471 11633 14883 27951 34727 34899 54571 81431 104181 127963 163713 244293 381997 383889 476953 895741 1145991 1407593 1430859 2687223 3338671 4222779 5246483 9853151 10016013 15483523 15739449 29559453 36725381 46450569 57711313 108384661 110176143 173133939 325153983 403979191 634824443 1211937573 1904473329 4443771101 13331313303