Base | Representation |
---|---|
bin | 1001100011110100111001… |
… | …11000110111100100100001 |
3 | 2202102200222102001110200211 |
4 | 10301322130320313210201 |
5 | 10223411432214200001 |
6 | 112413244420414121 |
7 | 4266542523351304 |
oct | 461723470674441 |
9 | 82380872043624 |
10 | 21022202100001 |
11 | 6775514046303 |
12 | 24362b0b47341 |
13 | b9650124264b |
14 | 5296a1212b3b |
15 | 266c8084c351 |
hex | 131e9ce37921 |
21022202100001 has 4 divisors (see below), whose sum is σ = 21022216651332. Its totient is φ = 21022187548672.
The previous prime is 21022202099929. The next prime is 21022202100023. The reversal of 21022202100001 is 10000120222012.
It is a happy number.
It is a semiprime because it is the product of two primes.
It can be written as a sum of positive squares in 2 ways, for example, as 18741981298401 + 2280220801600 = 4329201^2 + 1510040^2 .
It is a cyclic number.
It is not a de Polignac number, because 21022202100001 - 213 = 21022202091809 is a prime.
It is a super-3 number, since 3×210222021000013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (21022202100901) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4835920 + ... + 8088913.
It is an arithmetic number, because the mean of its divisors is an integer number (5255554162833).
Almost surely, 221022202100001 is an apocalyptic number.
It is an amenable number.
21022202100001 is a deficient number, since it is larger than the sum of its proper divisors (14551331).
21022202100001 is a wasteful number, since it uses less digits than its factorization.
21022202100001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14551330.
The product of its (nonzero) digits is 32, while the sum is 13.
Adding to 21022202100001 its reverse (10000120222012), we get a palindrome (31022322322013).
The spelling of 21022202100001 in words is "twenty-one trillion, twenty-two billion, two hundred two million, one hundred thousand, one".
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