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233013230249 is a prime number
BaseRepresentation
bin1101100100000010101…
…0111011101010101001
3211021110002111112200212
43121000222323222221
512304202341331444
6255013402110505
722556166530462
oct3310052735251
9737402445625
10233013230249
118a902991768
12391ab7ab435
1318c85a4b747
14b3c67b7d69
1560db8a719e
hex3640abbaa9

233013230249 has 2 divisors, whose sum is σ = 233013230250. Its totient is φ = 233013230248.

The previous prime is 233013230221. The next prime is 233013230257. The reversal of 233013230249 is 942032310332.

233013230249 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., 233006047849 + 7182400 = 482707^2 + 2680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233013230249 is a prime.

It is not a weakly prime, because it can be changed into another prime (233013200249) 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, 116506615124 + 116506615125.

It is an arithmetic number, because the mean of its divisors is an integer number (116506615125).

Almost surely, 2233013230249 is an apocalyptic number.

It is an amenable number.

233013230249 is a deficient number, since it is larger than the sum of its proper divisors (1).

233013230249 is an equidigital number, since it uses as much as digits as its factorization.

233013230249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 233013230249 in words is "two hundred thirty-three billion, thirteen million, two hundred thirty thousand, two hundred forty-nine".