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217333020136 = 23173379741357
BaseRepresentation
bin1100101001101000001…
…1101011010111101000
3202202222022102100011011
43022122003223113220
512030044223121021
6243501424513304
721462500122261
oct3123203532750
9682868370134
10217333020136
1184196907831
123615447b834
1317657301bcb
14a73a0cb968
1559beecdde1
hex329a0eb5e8

217333020136 has 32 divisors (see below), whose sum is σ = 409972755240. Its totient is φ = 108007314688.

The previous prime is 217333020131. The next prime is 217333020173. The reversal of 217333020136 is 631020333712.

217333020136 is digitally balanced in base 2, 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 4 ways, for example, as 184392948100 + 32940072036 = 429410^2 + 181494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 217333020098 and 217333020107.

It is not an unprimeable number, because it can be changed into a prime (217333020131) 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 7 ways as a sum of consecutive naturals, for example, 5234370 + ... + 5275726.

Almost surely, 2217333020136 is an apocalyptic number.

It is an amenable number.

217333020136 is a deficient number, since it is larger than the sum of its proper divisors (192639735104).

217333020136 is a wasteful number, since it uses less digits than its factorization.

217333020136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45333 (or 45329 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 31.

Adding to 217333020136 its reverse (631020333712), we get a palindrome (848353353848).

The spelling of 217333020136 in words is "two hundred seventeen billion, three hundred thirty-three million, twenty thousand, one hundred thirty-six".

Divisors: 1 2 4 8 173 346 692 1384 3797 7594 15188 30376 41357 82714 165428 330856 656881 1313762 2627524 5255048 7154761 14309522 28619044 57238088 157032529 314065058 628130116 1256260232 27166627517 54333255034 108666510068 217333020136