Base | Representation |
---|---|
bin | 11000001111010011… |
… | …11000010101000111 |
3 | 1020120220212012111000 |
4 | 30013221320111013 |
5 | 203122402233111 |
6 | 5551144344343 |
7 | 640324255314 |
oct | 140751702507 |
9 | 36526765430 |
10 | 13013321031 |
11 | 5578753777 |
12 | 26321750b3 |
13 | 12c5087079 |
14 | 8b6435d0b |
15 | 5126d3c56 |
hex | 307a78547 |
13013321031 has 16 divisors (see below), whose sum is σ = 19347613920. Its totient is φ = 8644668480.
The previous prime is 13013321021. The next prime is 13013321033. The reversal of 13013321031 is 13012331031.
It is a happy number.
13013321031 is a `hidden beast` number, since 1 + 301 + 332 + 1 + 0 + 31 = 666.
13013321031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 13013321031 - 29 = 13013320519 is a prime.
It is a super-2 number, since 2×130133210312 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 13013320995 and 13013321013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13013321033) 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 15 ways as a sum of consecutive naturals, for example, 850020 + ... + 865193.
It is an arithmetic number, because the mean of its divisors is an integer number (1209225870).
Almost surely, 213013321031 is an apocalyptic number.
13013321031 is a deficient number, since it is larger than the sum of its proper divisors (6334292889).
13013321031 is a wasteful number, since it uses less digits than its factorization.
13013321031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1715503 (or 1715497 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 13013321031 its reverse (13012331031), we get a palindrome (26025652062).
The spelling of 13013321031 in words is "thirteen billion, thirteen million, three hundred twenty-one thousand, thirty-one".
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