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233121244229 is a prime number
BaseRepresentation
bin1101100100011100011…
…0111110010001000101
3211021201121202020000122
43121013012332101011
512304413014303404
6255032221151325
722561650611156
oct3310706762105
9737647666018
10233121244229
118a958957215
123921b9bb545
1318ca2239b43
14b3d6c9392d
1560e60e13be
hex36471be445

233121244229 has 2 divisors, whose sum is σ = 233121244230. Its totient is φ = 233121244228.

The previous prime is 233121244207. The next prime is 233121244243. The reversal of 233121244229 is 922442121332.

233121244229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232615219204 + 506025025 = 482302^2 + 22495^2 .

It is a cyclic number.

It is not a de Polignac number, because 233121244229 - 232 = 228826276933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233121240229) 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, 116560622114 + 116560622115.

It is an arithmetic number, because the mean of its divisors is an integer number (116560622115).

Almost surely, 2233121244229 is an apocalyptic number.

It is an amenable number.

233121244229 is a deficient number, since it is larger than the sum of its proper divisors (1).

233121244229 is an equidigital number, since it uses as much as digits as its factorization.

233121244229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 35.

The spelling of 233121244229 in words is "two hundred thirty-three billion, one hundred twenty-one million, two hundred forty-four thousand, two hundred twenty-nine".