Base | Representation |
---|---|
bin | 11101110110110100000101… |
… | …101110100001010111110000 |
3 | 122012221010101211001010212102 |
4 | 131312310011232201113300 |
5 | 114202341122043101000 |
6 | 1143135012544515532 |
7 | 36441562314305423 |
oct | 3566640556412760 |
9 | 565833354033772 |
10 | 131310131222000 |
11 | 3892634a910465 |
12 | 1288894931bba8 |
13 | 58366525c2833 |
14 | 245d6310a79ba |
15 | 102aa27b4c3d5 |
hex | 776d05ba15f0 |
131310131222000 has 640 divisors, whose sum is σ = 360345293568000. Its totient is φ = 45979674624000.
The previous prime is 131310131221993. The next prime is 131310131222009. The reversal of 131310131222000 is 222131013131.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131310131222009) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23604191219 + ... + 23604196781.
It is an arithmetic number, because the mean of its divisors is an integer number (563039521200).
Almost surely, 2131310131222000 is an apocalyptic number.
131310131222000 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 131310131222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180172646784000).
131310131222000 is an abundant number, since it is smaller than the sum of its proper divisors (229035162346000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131310131222000 is a wasteful number, since it uses less digits than its factorization.
131310131222000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6282 (or 6266 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
Adding to 131310131222000 its reverse (222131013131), we get a palindrome (131532262235131).
The spelling of 131310131222000 in words is "one hundred thirty-one trillion, three hundred ten billion, one hundred thirty-one million, two hundred twenty-two thousand".
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