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13300120323 = 337317233673
BaseRepresentation
bin11000110001011111…
…11011101100000011
31021022220112010011000
430120233323230003
5204214312322243
610035431423043
7650406105000
oct143057735403
937286463130
1013300120323
115705631286
1226b2224a83
13133c6124a9
149025708a7
1552c9865d3
hex318bfbb03

13300120323 has 128 divisors (see below), whose sum is σ = 25394688000. Its totient is φ = 6840142848.

The previous prime is 13300120303. The next prime is 13300120367. The reversal of 13300120323 is 32302100331.

13300120323 is a `hidden beast` number, since 1 + 330 + 0 + 12 + 0 + 323 = 666.

It is not a de Polignac number, because 13300120323 - 212 = 13300116227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300120296 and 13300120305.

It is not an unprimeable number, because it can be changed into a prime (13300120303) 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 127 ways as a sum of consecutive naturals, for example, 3619215 + ... + 3622887.

It is an arithmetic number, because the mean of its divisors is an integer number (198396000).

Almost surely, 213300120323 is an apocalyptic number.

13300120323 is a deficient number, since it is larger than the sum of its proper divisors (12094567677).

13300120323 is a wasteful number, since it uses less digits than its factorization.

13300120323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300120323 its reverse (32302100331), we get a palindrome (45602220654).

The spelling of 13300120323 in words is "thirteen billion, three hundred million, one hundred twenty thousand, three hundred twenty-three".

Divisors: 1 3 7 9 17 21 23 27 49 51 63 69 119 147 153 161 189 207 343 357 391 441 459 483 621 833 1029 1071 1127 1173 1323 1449 2499 2737 3087 3213 3381 3519 3673 4347 5831 7497 7889 8211 9261 10143 10557 11019 17493 19159 22491 23667 24633 25711 30429 33057 52479 57477 62441 71001 73899 77133 84479 99171 134113 157437 172431 179977 187323 213003 231399 253437 402339 437087 517293 539931 561969 591353 694197 760311 1207017 1259839 1311261 1436143 1619793 1685907 1774059 2280933 3059609 3621051 3779517 3933783 4139471 4308429 4859379 5322177 9178827 10053001 11338551 11801349 12418413 12925287 15966531 21417263 27536481 28976297 30159003 34015653 37255239 38775861 64251789 70371007 82609443 86928891 90477009 111765717 192755367 211113021 260786673 271431027 492597049 578266101 633339063 782360019 1477791147 1900017189 4433373441 13300120323