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233321033131 is a prime number
BaseRepresentation
bin1101100101001100000…
…1000110110110101011
3211022020112200112212121
43121103001012312223
512310320141030011
6255104115252111
722566625026124
oct3312301066653
9738215615777
10233321033131
118aa5070560a
12392768aa037
131900474c024
14b41561d04b
156108907e71
hex3653046dab

233321033131 has 2 divisors, whose sum is σ = 233321033132. Its totient is φ = 233321033130.

The previous prime is 233321033129. The next prime is 233321033207. The reversal of 233321033131 is 131330123332.

233321033131 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 is a cyclic number.

It is not a de Polignac number, because 233321033131 - 21 = 233321033129 is a prime.

It is a super-2 number, since 2×2333210331312 (a number of 24 digits) contains 22 as substring.

Together with 233321033129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 233321033096 and 233321033105.

It is not a weakly prime, because it can be changed into another prime (233321033531) 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, 116660516565 + 116660516566.

It is an arithmetic number, because the mean of its divisors is an integer number (116660516566).

Almost surely, 2233321033131 is an apocalyptic number.

233321033131 is a deficient number, since it is larger than the sum of its proper divisors (1).

233321033131 is an equidigital number, since it uses as much as digits as its factorization.

233321033131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 233321033131 its reverse (131330123332), we get a palindrome (364651156463).

The spelling of 233321033131 in words is "two hundred thirty-three billion, three hundred twenty-one million, thirty-three thousand, one hundred thirty-one".