Base | Representation |
---|---|
bin | 11110100101101001101… |
… | …011011110011010111101 |
3 | 21102221122211110000002221 |
4 | 132211221223132122331 |
5 | 233414410033342341 |
6 | 4245352340245341 |
7 | 304602550205302 |
oct | 36455153363275 |
9 | 7387584400087 |
10 | 2102012012221 |
11 | 740504a88500 |
12 | 29b4736a0851 |
13 | 1232acb65894 |
14 | 73a48c150a9 |
15 | 39a28b9ded1 |
hex | 1e969ade6bd |
2102012012221 has 12 divisors (see below), whose sum is σ = 2333352027132. Its totient is φ = 1892000000000.
The previous prime is 2102012012201. The next prime is 2102012012291. The reversal of 2102012012221 is 1222102102012.
It is a happy number.
2102012012221 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 1789938948996 + 312073063225 = 1337886^2 + 558635^2 .
It is not a de Polignac number, because 2102012012221 - 229 = 2101475141309 is a prime.
It is a super-3 number, since 3×21020120122213 (a number of 38 digits) contains 333 as substring.
It is a Duffinian number.
2102012012221 is strictly pandigital in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 2102012012195 and 2102012012204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2102012012201) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85987780 + ... + 86012221.
It is an arithmetic number, because the mean of its divisors is an integer number (194446002261).
Almost surely, 22102012012221 is an apocalyptic number.
It is an amenable number.
2102012012221 is a deficient number, since it is larger than the sum of its proper divisors (231340014911).
2102012012221 is a wasteful number, since it uses less digits than its factorization.
2102012012221 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 172000124 (or 172000113 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 2102012012221 its reverse (1222102102012), we get a palindrome (3324114114233).
The spelling of 2102012012221 in words is "two trillion, one hundred two billion, twelve million, twelve thousand, two hundred twenty-one".
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