| Base | Representation |
|---|---|
| bin | 11101000111001110100… |
| … | …00101000100101100000 |
| 3 | 10112121222111002102102020 |
| 4 | 32203213100220211200 |
| 5 | 112342114422410422 |
| 6 | 2043312004221440 |
| 7 | 132161446226103 |
| oct | 16434720504540 |
| 9 | 3477874072366 |
| 10 | 1000312310112 |
| 11 | 356259248125 |
| 12 | 141a4a69a880 |
| 13 | 73437bb681b |
| 14 | 365b5b0273a |
| 15 | 1b048da795c |
| hex | e8e7428960 |
1000312310112 has 96 divisors (see below), whose sum is σ = 2645803440000. Its totient is φ = 330907342848.
The previous prime is 1000312310089. The next prime is 1000312310119. The reversal of 1000312310112 is 2110132130001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 1000312310091 and 1000312310100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000312310119) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8516488 + ... + 8633144.
It is an arithmetic number, because the mean of its divisors is an integer number (27560452500).
Almost surely, 21000312310112 is an apocalyptic number.
1000312310112 is a gapful number since it is divisible by the number (12) 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 1000312310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322901720000).
1000312310112 is an abundant number, since it is smaller than the sum of its proper divisors (1645491129888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000312310112 is a wasteful number, since it uses less digits than its factorization.
1000312310112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117348 (or 117340 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 1000312310112 its reverse (2110132130001), we get a palindrome (3110444440113).
The spelling of 1000312310112 in words is "one trillion, three hundred twelve million, three hundred ten thousand, one hundred twelve".
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