Base | Representation |
---|---|
bin | 111101000011110001… |
… | …1101111011001011101 |
3 | 110112110012122102022011 |
4 | 1322013203233121131 |
5 | 4122020031442341 |
6 | 140123123351221 |
7 | 12321233523046 |
oct | 1720743573135 |
9 | 415405572264 |
10 | 131123312221 |
11 | 50677767240 |
12 | 214b4b22511 |
13 | c498828415 |
14 | 64bc7558cd |
15 | 36267a1b81 |
hex | 1e878ef65d |
131123312221 has 32 divisors (see below), whose sum is σ = 159481941120. Its totient is φ = 106251264000.
The previous prime is 131123312213. The next prime is 131123312231. The reversal of 131123312221 is 122213321131.
It is a cyclic number.
It is not a de Polignac number, because 131123312221 - 23 = 131123312213 is a prime.
It is a super-3 number, since 3×1311233122213 (a number of 34 digits) contains 333 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 131123312192 and 131123312201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131123312231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20806771 + ... + 20813071.
It is an arithmetic number, because the mean of its divisors is an integer number (4983810660).
Almost surely, 2131123312221 is an apocalyptic number.
131123312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
131123312221 is a deficient number, since it is larger than the sum of its proper divisors (28358628899).
131123312221 is a wasteful number, since it uses less digits than its factorization.
131123312221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12205.
The product of its digits is 432, while the sum is 22.
Adding to 131123312221 its reverse (122213321131), we get a palindrome (253336633352).
It can be divided in two parts, 131123 and 312221, that added together give a palindrome (443344).
The spelling of 131123312221 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred twelve thousand, two hundred twenty-one".
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