Base | Representation |
---|---|
bin | 11101110001111000011… |
… | …00011001101001110101 |
3 | 10121211002102002021212100 |
4 | 32320330030121221311 |
5 | 113231014244201323 |
6 | 2102020202212313 |
7 | 133632102230412 |
oct | 16707414315165 |
9 | 3554072067770 |
10 | 1023212100213 |
11 | 364a3a612396 |
12 | 14637b7b4099 |
13 | 7564728a794 |
14 | 37749187109 |
15 | 1b9394c0943 |
hex | ee3c319a75 |
1023212100213 has 6 divisors (see below), whose sum is σ = 1477973033654. Its totient is φ = 682141400136.
The previous prime is 1023212100193. The next prime is 1023212100217. The reversal of 1023212100213 is 3120012123201.
1023212100213 is a `hidden beast` number, since 10 + 232 + 1 + 210 + 0 + 213 = 666.
It can be written as a sum of positive squares in only one way, i.e., 992858794929 + 30353305284 = 996423^2 + 174222^2 .
It is not a de Polignac number, because 1023212100213 - 212 = 1023212096117 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023212100217) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56845116670 + ... + 56845116687.
Almost surely, 21023212100213 is an apocalyptic number.
It is an amenable number.
1023212100213 is a deficient number, since it is larger than the sum of its proper divisors (454760933441).
1023212100213 is a wasteful number, since it uses less digits than its factorization.
1023212100213 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113690233363 (or 113690233360 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 1023212100213 its reverse (3120012123201), we get a palindrome (4143224223414).
The spelling of 1023212100213 in words is "one trillion, twenty-three billion, two hundred twelve million, one hundred thousand, two hundred thirteen".
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