Base | Representation |
---|---|
bin | 11000011100011000… |
… | …11001010001000011 |
3 | 1020212120022002211002 |
4 | 30032030121101003 |
5 | 203333444012011 |
6 | 10010104042215 |
7 | 643125634616 |
oct | 141614312103 |
9 | 36776262732 |
10 | 13123032131 |
11 | 5624678300 |
12 | 2662a6336b |
13 | 1311a1aa91 |
14 | 8c6c3417d |
15 | 51c155c3b |
hex | 30e319443 |
13123032131 has 24 divisors (see below), whose sum is σ = 14520427152. Its totient is φ = 11851012800.
The previous prime is 13123032031. The next prime is 13123032133.
13123032131 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 13123032131 - 230 = 12049290307 is a prime.
It is a super-2 number, since 2×131230321312 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (13123032133) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20096201 + ... + 20096853.
It is an arithmetic number, because the mean of its divisors is an integer number (605017798).
Almost surely, 213123032131 is an apocalyptic number.
13123032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
13123032131 is a deficient number, since it is larger than the sum of its proper divisors (1397395021).
13123032131 is a wasteful number, since it uses less digits than its factorization.
13123032131 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1523 (or 1512 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 20.
It can be divided in two parts, 131230 and 32131, that added together give a palindrome (163361).
The spelling of 13123032131 in words is "thirteen billion, one hundred twenty-three million, thirty-two thousand, one hundred thirty-one".
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