Base | Representation |
---|---|
bin | 11101110101001111100100… |
… | …100001101000010110111100 |
3 | 122012112210210220102121011100 |
4 | 131311033210201220112330 |
5 | 114144104101200342340 |
6 | 1143013243020253100 |
7 | 36431021553204351 |
oct | 3565174441502674 |
9 | 565483726377140 |
10 | 131202200012220 |
11 | 388945a4522037 |
12 | 1286ba473a1190 |
13 | 58294118a6c6c |
14 | 2458312968628 |
15 | 1027d0c4a4830 |
hex | 7753e48685bc |
131202200012220 has 144 divisors (see below), whose sum is σ = 402253200498240. Its totient is φ = 34613331207168.
The previous prime is 131202200012203. The next prime is 131202200012263. The reversal of 131202200012220 is 22210002202131.
131202200012220 is a `hidden beast` number, since 1 + 31 + 202 + 200 + 0 + 12 + 220 = 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 = 131202200012193 and 131202200012202.
It is a congruent number.
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, 1853880 + ... + 16304639.
It is an arithmetic number, because the mean of its divisors is an integer number (2793425003460).
Almost surely, 2131202200012220 is an apocalyptic number.
131202200012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131202200012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201126600249120).
131202200012220 is an abundant number, since it is smaller than the sum of its proper divisors (271051000486020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131202200012220 is a wasteful number, since it uses less digits than its factorization.
131202200012220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18158964 (or 18158959 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 131202200012220 its reverse (22210002202131), we get a palindrome (153412202214351).
The spelling of 131202200012220 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred million, twelve thousand, two hundred twenty".
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