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233121111121 is a prime number
BaseRepresentation
bin1101100100011100011…
…0011101110001010001
3211021201121111110102201
43121013012131301101
512304413001023441
6255032214243201
722561646515123
oct3310706356121
9737647443381
10233121111121
118a958876208
123921b956501
1318ca21c1392
14b3d6c5b213
1560e60b6c31
hex364719dc51

233121111121 has 2 divisors, whose sum is σ = 233121111122. Its totient is φ = 233121111120.

The previous prime is 233121111089. The next prime is 233121111161. The reversal of 233121111121 is 121111121332.

233121111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216573890625 + 16547220496 = 465375^2 + 128636^2 .

It is a cyclic number.

It is not a de Polignac number, because 233121111121 - 25 = 233121111089 is a prime.

It is not a weakly prime, because it can be changed into another prime (233121111161) 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 as a sum of consecutive naturals, namely, 116560555560 + 116560555561.

It is an arithmetic number, because the mean of its divisors is an integer number (116560555561).

Almost surely, 2233121111121 is an apocalyptic number.

It is an amenable number.

233121111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

233121111121 is an equidigital number, since it uses as much as digits as its factorization.

233121111121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 19.

Adding to 233121111121 its reverse (121111121332), we get a palindrome (354232232453).

The spelling of 233121111121 in words is "two hundred thirty-three billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".