Base | Representation |
---|---|
bin | 1100001110110001000… |
… | …0100111101011100101 |
3 | 202002100210000020020212 |
4 | 3003230100213223211 |
5 | 11420312241210041 |
6 | 240310120105205 |
7 | 21116011213253 |
oct | 3035420475345 |
9 | 662323006225 |
10 | 210122210021 |
11 | 81126567429 |
12 | 34881605205 |
13 | 16a78428469 |
14 | a2545775d3 |
15 | 56ebe228eb |
hex | 30ec427ae5 |
210122210021 has 16 divisors (see below), whose sum is σ = 219617362800. Its totient is φ = 200778816000.
The previous prime is 210122210009. The next prime is 210122210033. The reversal of 210122210021 is 120012221012.
210122210021 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 (210122210009) and next prime (210122210033).
It can be written as a sum of positive squares in 8 ways, for example, as 371949796 + 209750260225 = 19286^2 + 457985^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-210122210021 is a prime.
It is a super-3 number, since 3×2101222100213 (a number of 35 digits) contains 333 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 210122209978 and 210122210005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (210122210521) 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 15 ways as a sum of consecutive naturals, for example, 7134995 + ... + 7164383.
It is an arithmetic number, because the mean of its divisors is an integer number (13726085175).
Almost surely, 2210122210021 is an apocalyptic number.
It is an amenable number.
210122210021 is a deficient number, since it is larger than the sum of its proper divisors (9495152779).
210122210021 is a wasteful number, since it uses less digits than its factorization.
210122210021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31960.
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 210122210021 its reverse (120012221012), we get a palindrome (330134431033).
The spelling of 210122210021 in words is "two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, twenty-one".
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