Search a number
-
+
217335010801 = 1921837132771
BaseRepresentation
bin1100101001101000101…
…1010001010111110001
3202202222110011110211111
43022122023101113301
512030100230321201
6243501535313321
721462523053046
oct3123213212761
9682873143744
10217335010801
1184197a47407
123615507b841
131765784b00c
14a73a4891cd
1559c0273b51
hex329a2d15f1

217335010801 has 12 divisors (see below), whose sum is σ = 229395217104. Its totient is φ = 205878835800.

The previous prime is 217335010799. The next prime is 217335010819. The reversal of 217335010801 is 108010533712.

217335010801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 217335010801 - 21 = 217335010799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217335010201) 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 11 ways as a sum of consecutive naturals, for example, 6615546 + ... + 6648316.

It is an arithmetic number, because the mean of its divisors is an integer number (19116268092).

Almost surely, 2217335010801 is an apocalyptic number.

It is an amenable number.

217335010801 is a deficient number, since it is larger than the sum of its proper divisors (12060206303).

217335010801 is a wasteful number, since it uses less digits than its factorization.

217335010801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51180 (or 51161 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 217335010801 in words is "two hundred seventeen billion, three hundred thirty-five million, ten thousand, eight hundred one".

Divisors: 1 19 361 18371 32771 349049 622649 6631931 11830331 602036041 11438684779 217335010801