Base | Representation |
---|---|
bin | 10000001001110111001… |
… | …011010010011001011100 |
3 | 10221010100211220020112200 |
4 | 100021313023102121130 |
5 | 121141441324310022 |
6 | 2205550125131500 |
7 | 143126223616221 |
oct | 20116713223134 |
9 | 3833324806480 |
10 | 1110101010012 |
11 | 398878097355 |
12 | 15b18a6b9b90 |
13 | 808b36a0b87 |
14 | 3ba2cc01948 |
15 | 1dd22662bac |
hex | 102772d265c |
1110101010012 has 144 divisors (see below), whose sum is σ = 3006671391360. Its totient is φ = 344329640064.
The previous prime is 1110101009981. The next prime is 1110101010019. The reversal of 1110101010012 is 2100101010111.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1110101009976 and 1110101010003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1110101010019) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9765043 + ... + 9878069.
It is an arithmetic number, because the mean of its divisors is an integer number (20879662440).
Almost surely, 21110101010012 is an apocalyptic number.
1110101010012 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 1110101010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503335695680).
1110101010012 is an abundant number, since it is smaller than the sum of its proper divisors (1896570381348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1110101010012 is a wasteful number, since it uses less digits than its factorization.
1110101010012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113312 (or 113307 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 9.
Adding to 1110101010012 its reverse (2100101010111), we get a palindrome (3210202020123).
Subtracting 1110101010012 from its reverse (2100101010111), we obtain a palindrome (990000000099).
The spelling of 1110101010012 in words is "one trillion, one hundred ten billion, one hundred one million, ten thousand, twelve".
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