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21205530341 = 731372120341
BaseRepresentation
bin10011101111111100…
…101011011011100101
32000201211221112222122
4103233330223123211
5321412103432331
613424112035325
71350331014422
oct235774533345
960654845878
1021205530341
118aa1a72896
124139832b45
131ccc3873b8
141052454d49
158419ea17b
hex4eff2b6e5

21205530341 has 8 divisors (see below), whose sum is σ = 21652932504. Its totient is φ = 20762369280.

The previous prime is 21205530289. The next prime is 21205530349. The reversal of 21205530341 is 14303550212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3270696100 + 17934834241 = 57190^2 + 133921^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21205530341 - 26 = 21205530277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21205530341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21205530349) 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 7 ways as a sum of consecutive naturals, for example, 1050170 + ... + 1070171.

It is an arithmetic number, because the mean of its divisors is an integer number (2706616563).

Almost surely, 221205530341 is an apocalyptic number.

It is an amenable number.

21205530341 is a deficient number, since it is larger than the sum of its proper divisors (447402163).

21205530341 is a wasteful number, since it uses less digits than its factorization.

21205530341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120551.

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 21205530341 in words is "twenty-one billion, two hundred five million, five hundred thirty thousand, three hundred forty-one".

Divisors: 1 73 137 10001 2120341 154784893 290486717 21205530341