Base | Representation |
---|---|
bin | 11000100110110010… |
… | …10110000110101011 |
3 | 1021002122112102211201 |
4 | 30103121112012223 |
5 | 204023320010011 |
6 | 10022502505031 |
7 | 645235544311 |
oct | 142331260653 |
9 | 37078472751 |
10 | 13210313131 |
11 | 5669971864 |
12 | 2688135177 |
13 | 1326b2a242 |
14 | 8d46740b1 |
15 | 524b46cc1 |
hex | 3136561ab |
13210313131 has 16 divisors (see below), whose sum is σ = 14487616800. Its totient is φ = 11989651968.
The previous prime is 13210313071. The next prime is 13210313173. The reversal of 13210313131 is 13131301231.
13210313131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a cyclic number.
It is not a de Polignac number, because 13210313131 - 27 = 13210313003 is a prime.
It is a super-2 number, since 2×132103131312 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 13210313099 and 13210313108.
It is not an unprimeable number, because it can be changed into a prime (13210319131) 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, 392536 + ... + 424858.
It is an arithmetic number, because the mean of its divisors is an integer number (905476050).
Almost surely, 213210313131 is an apocalyptic number.
13210313131 is a deficient number, since it is larger than the sum of its proper divisors (1277303669).
13210313131 is a wasteful number, since it uses less digits than its factorization.
13210313131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33198.
The product of its (nonzero) digits is 162, while the sum is 19.
Adding to 13210313131 its reverse (13131301231), we get a palindrome (26341614362).
The spelling of 13210313131 in words is "thirteen billion, two hundred ten million, three hundred thirteen thousand, one hundred thirty-one".
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