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13000310023 = 171036973751
BaseRepresentation
bin11000001101110000…
…01111110100000111
31020120000101011201211
430012320033310013
5203111034410043
65550001432251
7640105545331
oct140670176407
936500334654
1013000310023
115571377378
12262993b687
1312c247cb4c
148b480a451
155114b3a9d
hex306e0fd07

13000310023 has 8 divisors (see below), whose sum is σ = 13766548320. Its totient is φ = 12234240000.

The previous prime is 13000309969. The next prime is 13000310039. The reversal of 13000310023 is 32001300031.

13000310023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13000310023 - 217 = 13000178951 is a prime.

It is a super-2 number, since 2×130003100232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13000309985 and 13000310012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000310083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139398 + ... + 213148.

It is an arithmetic number, because the mean of its divisors is an integer number (1720818540).

Almost surely, 213000310023 is an apocalyptic number.

13000310023 is a deficient number, since it is larger than the sum of its proper divisors (766238297).

13000310023 is a wasteful number, since it uses less digits than its factorization.

13000310023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84137.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13000310023 its reverse (32001300031), we get a palindrome (45001610054).

The spelling of 13000310023 in words is "thirteen billion, three hundred ten thousand, twenty-three".

Divisors: 1 17 10369 73751 176273 1253767 764724119 13000310023