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232331201123333 = 131710237211026913
BaseRepresentation
bin110100110100110111010010…
…101101101001010000000101
31010110121122102212111222121012
4310310313102231221100011
5220423003244441421313
62142043251431132005
766636242514430544
oct6464672255512005
91113548385458535
10232331201123333
1168034122199224
1222083415214005
139c83979c51a40
144152c6675015b
151bcd7037dbda8
hexd34dd2b69405

232331201123333 has 16 divisors (see below), whose sum is σ = 264921162384816. Its totient is φ = 201843907706880.

The previous prime is 232331201123327. The next prime is 232331201123389. The reversal of 232331201123333 is 333321102133232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 51952279930849 + 180378921192484 = 7207793^2 + 13430522^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232331201123333 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 232331201123333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232331201123303) 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 15 ways as a sum of consecutive naturals, for example, 225728885 + ... + 226755797.

It is an arithmetic number, because the mean of its divisors is an integer number (16557572649051).

Almost surely, 2232331201123333 is an apocalyptic number.

It is an amenable number.

232331201123333 is a deficient number, since it is larger than the sum of its proper divisors (32589961261483).

232331201123333 is a wasteful number, since it uses less digits than its factorization.

232331201123333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050664.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 232331201123333 its reverse (333321102133232), we get a palindrome (565652303256565).

The spelling of 232331201123333 in words is "two hundred thirty-two trillion, three hundred thirty-one billion, two hundred one million, one hundred twenty-three thousand, three hundred thirty-three".

Divisors: 1 13 17 221 1023721 1026913 13308373 13349869 17403257 17457521 226242341 226947773 1051272403273 13666541242549 17871630855641 232331201123333