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13000303121 = 1317792113529
BaseRepresentation
bin11000001101110000…
…01110001000010001
31020120000100211021012
430012320032020101
5203111034144441
65550001340305
7640105516241
oct140670161021
936500324235
1013000303121
115571372173
122629937695
1312c2479970
148b4807b21
155114b19eb
hex306e0e211

13000303121 has 32 divisors (see below), whose sum is σ = 15086937600. Its totient is φ = 11095418880.

The previous prime is 13000303117. The next prime is 13000303171. The reversal of 13000303121 is 12130300031.

It is not a de Polignac number, because 13000303121 - 22 = 13000303117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000303096 and 13000303105.

It is not an unprimeable number, because it can be changed into a prime (13000303171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682085 + ... + 3685613.

It is an arithmetic number, because the mean of its divisors is an integer number (471466800).

Almost surely, 213000303121 is an apocalyptic number.

It is an amenable number.

13000303121 is a deficient number, since it is larger than the sum of its proper divisors (2086634479).

13000303121 is a wasteful number, since it uses less digits than its factorization.

13000303121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13000303121 its reverse (12130300031), we get a palindrome (25130603152).

The spelling of 13000303121 in words is "thirteen billion, three hundred three thousand, one hundred twenty-one".

Divisors: 1 13 17 79 211 221 1027 1343 2743 3529 3587 16669 17459 45877 46631 59993 216697 278791 283373 744619 779909 3624283 3683849 4739447 9680047 12658523 58824901 61612811 164560799 764723713 1000023317 13000303121