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13000114304 = 27997101869
BaseRepresentation
bin11000001101101111…
…00000000010000000
31020120000000020020222
430012313200002000
5203111012124204
65545553322212
7640104101612
oct140667400200
936500006228
1013000114304
115571253321
122629866368
1312c2411a38
148b4798db2
15511475abe
hex306de0080

13000114304 has 32 divisors (see below), whose sum is σ = 25924896300. Its totient is φ = 6493473792.

The previous prime is 13000114301. The next prime is 13000114321. The reversal of 13000114304 is 40341100031.

It can be written as a sum of positive squares in 2 ways, for example, as 12950440000 + 49674304 = 113800^2 + 7048^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13000114301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76682 + ... + 178550.

Almost surely, 213000114304 is an apocalyptic number.

It is an amenable number.

13000114304 is a deficient number, since it is larger than the sum of its proper divisors (12924781996).

13000114304 is an equidigital number, since it uses as much as digits as its factorization.

13000114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102880 (or 102868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13000114304 its reverse (40341100031), we get a palindrome (53341214335).

The spelling of 13000114304 in words is "thirteen billion, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 997 1994 3988 7976 15952 31904 63808 101869 127616 203738 407476 814952 1629904 3259808 6519616 13039232 101563393 203126786 406253572 812507144 1625014288 3250028576 6500057152 13000114304