Base | Representation |
---|---|
bin | 1011000010000111111110… |
… | …1100111001111111110111 |
3 | 1120221201120022112111200012 |
4 | 2300201333230321333313 |
5 | 3042224023302402411 |
6 | 41444544135410435 |
7 | 2361305466450611 |
oct | 260417754717767 |
9 | 46851508474605 |
10 | 12131130122231 |
11 | 395786877254a |
12 | 143b116b23a1b |
13 | 69cc647608a3 |
14 | 2dd2151c7db1 |
15 | 16085a0ba18b |
hex | b087fb39ff7 |
12131130122231 has 64 divisors (see below), whose sum is σ = 14211995719680. Its totient is φ = 10270615449600.
The previous prime is 12131130122207. The next prime is 12131130122233. The reversal of 12131130122231 is 13222103113121.
It is a happy number.
It is a cyclic number.
It is not a de Polignac number, because 12131130122231 - 210 = 12131130121207 is a prime.
It is a super-3 number, since 3×121311301222313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a junction number, because it is equal to n+sod(n) for n = 12131130122197 and 12131130122206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12131130122233) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2145960401 + ... + 2145966053.
It is an arithmetic number, because the mean of its divisors is an integer number (222062433120).
Almost surely, 212131130122231 is an apocalyptic number.
12131130122231 is a deficient number, since it is larger than the sum of its proper divisors (2080865597449).
12131130122231 is a wasteful number, since it uses less digits than its factorization.
12131130122231 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7776.
The product of its (nonzero) digits is 432, while the sum is 23.
Adding to 12131130122231 its reverse (13222103113121), we get a palindrome (25353233235352).
The spelling of 12131130122231 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty million, one hundred twenty-two thousand, two hundred thirty-one".
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