Base | Representation |
---|---|
bin | 11101110100000100111110… |
… | …010011111101100111111010 |
3 | 122012021011001201212222211200 |
4 | 131310010332103331213322 |
5 | 114141301031103000442 |
6 | 1142512355002035030 |
7 | 36422154631300242 |
oct | 3564047623754772 |
9 | 565234051788750 |
10 | 131122102000122 |
11 | 38863631262022 |
12 | 128584127a8a76 |
13 | 58219b837642c |
14 | 24544b4b98b22 |
15 | 1025bc05c534c |
hex | 77413e4fd9fa |
131122102000122 has 24 divisors (see below), whose sum is σ = 284224097389440. Its totient is φ = 43687950453000.
The previous prime is 131122102000111. The next prime is 131122102000159. The reversal of 131122102000122 is 221000201221131.
131122102000122 is a `hidden beast` number, since 1 + 311 + 2 + 210 + 20 + 0 + 0 + 122 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 131122102000095 and 131122102000104.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 1618031722 + ... + 1618112757.
It is an arithmetic number, because the mean of its divisors is an integer number (11842670724560).
Almost surely, 2131122102000122 is an apocalyptic number.
131122102000122 is an abundant number, since it is smaller than the sum of its proper divisors (153101995389318).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131122102000122 is a wasteful number, since it uses less digits than its factorization.
131122102000122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3236146738 (or 3236146735 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 131122102000122 its reverse (221000201221131), we get a palindrome (352122303221253).
The spelling of 131122102000122 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-two", and thus it is an aban number.
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