Search a number
-
+
233120133229 is a prime number
BaseRepresentation
bin1101100100011100001…
…0101111000001101101
3211021201112122210000111
43121013002233001231
512304412223230404
6255032141300021
722561635303124
oct3310702570155
9737645583014
10233120133229
118a958268535
123921b564611
1318ca1c3b249
14b3d6a84abb
1560e5e72104
hex36470af06d

233120133229 has 2 divisors, whose sum is σ = 233120133230. Its totient is φ = 233120133228.

The previous prime is 233120133209. The next prime is 233120133247. The reversal of 233120133229 is 922331021332.

233120133229 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., 197247015625 + 35873117604 = 444125^2 + 189402^2 .

It is a cyclic number.

It is not a de Polignac number, because 233120133229 - 27 = 233120133101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233120133229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233120133209) 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, 116560066614 + 116560066615.

It is an arithmetic number, because the mean of its divisors is an integer number (116560066615).

Almost surely, 2233120133229 is an apocalyptic number.

It is an amenable number.

233120133229 is a deficient number, since it is larger than the sum of its proper divisors (1).

233120133229 is an equidigital number, since it uses as much as digits as its factorization.

233120133229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 233120133229 in words is "two hundred thirty-three billion, one hundred twenty million, one hundred thirty-three thousand, two hundred twenty-nine".