Base | Representation |
---|---|
bin | 11101011101011001001… |
… | …10111011010010000000 |
3 | 10120202200212201021020210 |
4 | 32232230212323102000 |
5 | 113041003034400000 |
6 | 2053000533434120 |
7 | 133062405145062 |
oct | 16565446732200 |
9 | 3522625637223 |
10 | 1012213200000 |
11 | 360305a65912 |
12 | 14421019b940 |
13 | 745b36598c2 |
14 | 36dc44c1732 |
15 | 1b4e3a9c350 |
hex | ebac9bb480 |
1012213200000 has 384 divisors, whose sum is σ = 3371967930240. Its totient is φ = 269015040000.
The previous prime is 1012213199999. The next prime is 1012213200001. The reversal of 1012213200000 is 23122101.
1012213200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1012213199999) and next prime (1012213200001).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (1012213200001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404398749 + ... + 404401251.
It is an arithmetic number, because the mean of its divisors is an integer number (8781166485).
Almost surely, 21012213200000 is an apocalyptic number.
1012213200000 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 1012213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685983965120).
1012213200000 is an abundant number, since it is smaller than the sum of its proper divisors (2359754730240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012213200000 is an frugal number, since it uses more digits than its factorization.
1012213200000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2882 (or 2850 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
Adding to 1012213200000 its reverse (23122101), we get a palindrome (1012236322101).
The spelling of 1012213200000 in words is "one trillion, twelve billion, two hundred thirteen million, two hundred thousand".
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