| Base | Representation |
|---|---|
| bin | 111101000010111000… |
| … | …1010000111100000000 |
| 3 | 110112101010011210110000 |
| 4 | 1322011301100330000 |
| 5 | 4121434341144130 |
| 6 | 140120132240000 |
| 7 | 12320420455530 |
| oct | 1720561207400 |
| 9 | 415333153400 |
| 10 | 131093303040 |
| 11 | 5066182a967 |
| 12 | 214a6a70000 |
| 13 | c49254c1cb |
| 14 | 64b87834c0 |
| 15 | 3623d25260 |
| hex | 1e85c50f00 |
131093303040 has 360 divisors, whose sum is σ = 536089609440. Its totient is φ = 29964017664.
The previous prime is 131093303023. The next prime is 131093303041. The reversal of 131093303040 is 40303390131.
131093303040 is a `hidden beast` number, since 1 + 310 + 9 + 3 + 303 + 0 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 131093302995 and 131093303013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131093303041) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 635446 + ... + 816074.
It is an arithmetic number, because the mean of its divisors is an integer number (1489137804).
Almost surely, 2131093303040 is an apocalyptic number.
131093303040 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 131093303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268044804720).
131093303040 is an abundant number, since it is smaller than the sum of its proper divisors (404996306400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131093303040 is an equidigital number, since it uses as much as digits as its factorization.
131093303040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180669 (or 180646 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 27.
Adding to 131093303040 its reverse (40303390131), we get a palindrome (171396693171).
The spelling of 131093303040 in words is "one hundred thirty-one billion, ninety-three million, three hundred three thousand, forty".
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