Base | Representation |
---|---|
bin | 11101110101100001011001… |
… | …100010110011011100101100 |
3 | 122012121122020000120101201100 |
4 | 131311201121202303130230 |
5 | 114144412302314420434 |
6 | 1143030130335443100 |
7 | 36432300132025563 |
oct | 3565413142633454 |
9 | 565548200511640 |
10 | 131221343123244 |
11 | 388a1728294750 |
12 | 128736aa386490 |
13 | 582b1728a0aaa |
14 | 245920b116bda |
15 | 102857cdac699 |
hex | 7758598b372c |
131221343123244 has 144 divisors (see below), whose sum is σ = 363383931246336. Its totient is φ = 39596038185600.
The previous prime is 131221343123219. The next prime is 131221343123263. The reversal of 131221343123244 is 442321343122131.
131221343123244 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 13 + 4 + 312 + 324 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 131221343123199 and 131221343123208.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124817274 + ... + 125864190.
It is an arithmetic number, because the mean of its divisors is an integer number (2523499522544).
Almost surely, 2131221343123244 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131221343123244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181691965623168).
131221343123244 is an abundant number, since it is smaller than the sum of its proper divisors (232162588123092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131221343123244 is a wasteful number, since it uses less digits than its factorization.
131221343123244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1048276 (or 1048271 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
Adding to 131221343123244 its reverse (442321343122131), we get a palindrome (573542686245375).
The spelling of 131221343123244 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred forty-three million, one hundred twenty-three thousand, two hundred forty-four".
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