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13302130023 = 3271343389971
BaseRepresentation
bin11000110001101111…
…00110010101100111
31021100001022012221100
430120313212111213
5204220321130043
610035542451143
7650432145120
oct143067462547
937301265840
1013302130023
115706784196
1226b2a33ab3
13133cb67170
14902935047
1552cc31cd3
hex318de6567

13302130023 has 96 divisors (see below), whose sum is σ = 24285381120. Its totient is φ = 6828675840.

The previous prime is 13302129989. The next prime is 13302130027. The reversal of 13302130023 is 32003120331.

It is not a de Polignac number, because 13302130023 - 26 = 13302129959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13302129978 and 13302130005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302130027) 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 95 ways as a sum of consecutive naturals, for example, 13698928 + ... + 13699898.

It is an arithmetic number, because the mean of its divisors is an integer number (252972720).

Almost surely, 213302130023 is an apocalyptic number.

13302130023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13302130023 is a deficient number, since it is larger than the sum of its proper divisors (10983251097).

13302130023 is a wasteful number, since it uses less digits than its factorization.

13302130023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1426 counting only the distinct ones).

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

Adding to 13302130023 its reverse (32003120331), we get a palindrome (45305250354).

The spelling of 13302130023 in words is "thirteen billion, three hundred two million, one hundred thirty thousand, twenty-three".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 273 301 387 389 559 819 903 971 1167 1677 2709 2723 2913 3501 3913 5031 5057 6797 8169 8739 11739 12623 15171 16727 20391 24507 35217 35399 37869 41753 45513 50181 61173 88361 106197 113607 117089 125259 150543 217451 265083 292271 318591 351267 375777 377719 542789 652353 795249 876813 1053801 1133157 1522157 1628367 1957059 2630439 2644033 3399471 3799523 4566471 4885101 4910347 7932099 11398569 13699413 14731041 16241917 23796297 34195707 34372429 44193123 48725751 103117287 113693419 146177253 211144921 309351861 341080257 633434763 1023240771 1478014447 1900304289 4434043341 13302130023