Base | Representation |
---|---|
bin | 101111100000001100… |
… | …0111100010111101100 |
3 | 100202022101121010212010 |
4 | 1133000120330113230 |
5 | 3132410033341022 |
6 | 114510315241220 |
7 | 10240644536511 |
oct | 1370030742754 |
9 | 322271533763 |
10 | 102012012012 |
11 | 3a299137549 |
12 | 1792b749210 |
13 | 98096013b1 |
14 | 4d1a365308 |
15 | 29c0bc150c |
hex | 17c063c5ec |
102012012012 has 12 divisors (see below), whose sum is σ = 238028028056. Its totient is φ = 34004004000.
The previous prime is 102012011939. The next prime is 102012012017. The reversal of 102012012012 is 210210210201.
It is a tau number, because it is divible by the number of its divisors (12).
It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8501001001 = 102012012012 / (1 + 0 + 2 + 0 + 1 + 2 + 0 + 1 + 2 + 0 + 1 + 2).
It is not an unprimeable number, because it can be changed into a prime (102012012017) 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 3 ways as a sum of consecutive naturals, for example, 4250500489 + ... + 4250500512.
Almost surely, 2102012012012 is an apocalyptic number.
102012012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
102012012012 is an abundant number, since it is smaller than the sum of its proper divisors (136016016044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102012012012 is a wasteful number, since it uses less digits than its factorization.
102012012012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8501001008 (or 8501001006 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 102012012012 its reverse (210210210201), we get a palindrome (312222222213).
The spelling of 102012012012 in words is "one hundred two billion, twelve million, twelve thousand, twelve".
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