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13303120311 = 3213476593671
BaseRepresentation
bin11000110001110110…
…11000000110110111
31021100010011112100200
430120323120012313
5204221044322221
610040020011543
7650443441215
oct143073300667
937303145320
1013303120311
1157072a0208
1226b3230bb3
131340122b30
14902b11cb5
1552cd7a426
hex318ed81b7

13303120311 has 48 divisors (see below), whose sum is σ = 21171870720. Its totient is φ = 7998016320.

The previous prime is 13303120283. The next prime is 13303120319. The reversal of 13303120311 is 11302130331.

It is a happy number.

13303120311 is a `hidden beast` number, since 1 + 330 + 3 + 1 + 20 + 311 = 666.

It is not a de Polignac number, because 13303120311 - 214 = 13303103927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303120319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622006 + ... + 3625676.

It is an arithmetic number, because the mean of its divisors is an integer number (441080640).

Almost surely, 213303120311 is an apocalyptic number.

13303120311 is a deficient number, since it is larger than the sum of its proper divisors (7868750409).

13303120311 is a wasteful number, since it uses less digits than its factorization.

13303120311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13303120311 its reverse (11302130331), we get a palindrome (24605250642).

The spelling of 13303120311 in words is "thirteen billion, three hundred three million, one hundred twenty thousand, three hundred eleven".

Divisors: 1 3 9 13 39 47 117 141 423 611 659 1833 1977 3671 5499 5931 8567 11013 25701 30973 33039 47723 77103 92919 143169 172537 278757 402649 429507 517611 1207947 1552833 2242981 2419189 3623841 6728943 7257567 20186829 21772701 31449457 94348371 113701883 283045113 341105649 1023316947 1478124479 4434373437 13303120311