Base | Representation |
---|---|
bin | 101110010001… |
… | …101010111001 |
3 | 211211022121100 |
4 | 232101222321 |
5 | 11101143001 |
6 | 1112002013 |
7 | 205053231 |
oct | 56215271 |
9 | 24738540 |
10 | 12131001 |
11 | 6936223 |
12 | 4090309 |
13 | 268980c |
14 | 187acc1 |
15 | 10e9586 |
hex | b91ab9 |
12131001 has 12 divisors (see below), whose sum is σ = 17559828. Its totient is φ = 8070144.
The previous prime is 12130999. The next prime is 12131017. The reversal of 12131001 is 10013121.
It can be written as a sum of positive squares in 2 ways, for example, as 9308601 + 2822400 = 3051^2 + 1680^2 .
It is not a de Polignac number, because 12131001 - 21 = 12130999 is a prime.
It is a super-2 number, since 2×121310012 = 294322370524002, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (12131071) 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 11 ways as a sum of consecutive naturals, for example, 4201 + ... + 6473.
It is an arithmetic number, because the mean of its divisors is an integer number (1463319).
Almost surely, 212131001 is an apocalyptic number.
It is an amenable number.
12131001 is a deficient number, since it is larger than the sum of its proper divisors (5428827).
12131001 is a wasteful number, since it uses less digits than its factorization.
12131001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2872 (or 2869 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 12131001 is about 3482.9586560854. The cubic root of 12131001 is about 229.7729391154.
Adding to 12131001 its reverse (10013121), we get a palindrome (22144122).
The spelling of 12131001 in words is "twelve million, one hundred thirty-one thousand, one".
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