| Base | Representation |
|---|---|
| bin | 11101110011100100010110… |
| … | …101110011001110100000000 |
| 3 | 122012010210122212020202000200 |
| 4 | 131303210112232121310000 |
| 5 | 114140212313443314240 |
| 6 | 1142444323342245200 |
| 7 | 36416504666140662 |
| oct | 3563442656316400 |
| 9 | 565123585222020 |
| 10 | 131087078104320 |
| 11 | 3884a79917a798 |
| 12 | 12851679286800 |
| 13 | 581b5c6207030 |
| 14 | 245291142c532 |
| 15 | 1024d208c4930 |
| hex | 773916b99d00 |
131087078104320 has 1296 divisors, whose sum is σ = 508170535563600. Its totient is φ = 31012049387520.
The previous prime is 131087078104291. The next prime is 131087078104357. The reversal of 131087078104320 is 23401870780131.
131087078104320 is a `hidden beast` number, since 1 + 310 + 8 + 7 + 0 + 7 + 8 + 1 + 0 + 4 + 320 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 25610563033344 + 105476515070976 = 5060688^2 + 10270176^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 143 ways as a sum of consecutive naturals, for example, 21443981584 + ... + 21443987696.
It is an arithmetic number, because the mean of its divisors is an integer number (392106894725).
Almost surely, 2131087078104320 is an apocalyptic number.
131087078104320 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 131087078104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254085267781800).
131087078104320 is an abundant number, since it is smaller than the sum of its proper divisors (377083457459280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131087078104320 is a wasteful number, since it uses less digits than its factorization.
131087078104320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6364 (or 6316 counting only the distinct ones).
The product of its (nonzero) digits is 225792, while the sum is 45.
The spelling of 131087078104320 in words is "one hundred thirty-one trillion, eighty-seven billion, seventy-eight million, one hundred four thousand, three hundred twenty".
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