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235303643241 = 3297726760337
BaseRepresentation
bin1101101100100100110…
…0001010100001101001
3211111100201022120122200
43123021030022201221
512323400213040431
6300032541410413
723000020652412
oct3331114124151
9744321276580
10235303643241
1190878854967
123972a869a09
131925c417cc4
14b562a6c809
1561c29d2ee6
hex36c930a869

235303643241 has 12 divisors (see below), whose sum is σ = 340230937332. Its totient is φ = 156708527616.

The previous prime is 235303643221. The next prime is 235303643249. The reversal of 235303643241 is 142346303532.

235303643241 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 0 + 3 + 643 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91128515625 + 144175127616 = 301875^2 + 379704^2 .

It is not a de Polignac number, because 235303643241 - 29 = 235303642729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 235303643196 and 235303643205.

It is not an unprimeable number, because it can be changed into a prime (235303643249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13371376 + ... + 13388961.

It is an arithmetic number, because the mean of its divisors is an integer number (28352578111).

Almost surely, 2235303643241 is an apocalyptic number.

It is an amenable number.

235303643241 is a deficient number, since it is larger than the sum of its proper divisors (104927294091).

235303643241 is a wasteful number, since it uses less digits than its factorization.

235303643241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26761320 (or 26761317 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 235303643241 its reverse (142346303532), we get a palindrome (377649946773).

The spelling of 235303643241 in words is "two hundred thirty-five billion, three hundred three million, six hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 977 2931 8793 26760337 80281011 240843033 26144849249 78434547747 235303643241