Search a number
-
+
233342434401 = 317179253110099
BaseRepresentation
bin1101100101010001001…
…0101111110001100001
3211022022000221211220020
43121110102233301201
512310341130400101
6255110202104053
722600304652366
oct3312422576141
9738260854806
10233342434401
118aa617a270a
1239281aab029
13190090031bb
14b4183d046d
15610a734136
hex36544afc61

233342434401 has 32 divisors (see below), whose sum is σ = 331428672000. Its totient is φ = 145521066240.

The previous prime is 233342434343. The next prime is 233342434439. The reversal of 233342434401 is 104434243332.

It is a happy number.

233342434401 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 233342434401 - 211 = 233342432353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233342435401) 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 31 ways as a sum of consecutive naturals, for example, 23100450 + ... + 23110548.

It is an arithmetic number, because the mean of its divisors is an integer number (10357146000).

Almost surely, 2233342434401 is an apocalyptic number.

It is an amenable number.

233342434401 is a deficient number, since it is larger than the sum of its proper divisors (98086237599).

233342434401 is a wasteful number, since it uses less digits than its factorization.

233342434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 233342434401 its reverse (104434243332), we get a palindrome (337776677733).

The spelling of 233342434401 in words is "two hundred thirty-three billion, three hundred forty-two million, four hundred thirty-four thousand, four hundred one".

Divisors: 1 3 17 51 179 537 2531 3043 7593 9129 10099 30297 43027 129081 171683 453049 515049 1359147 1807721 5423163 7701833 23105499 25560569 30731257 76681707 92193771 434529673 1303589019 4575341851 13726025553 77780811467 233342434401