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230120444129 is a prime number
BaseRepresentation
bin1101011001010000111…
…1110101000011100001
3210222222111012210011012
43112110033311003201
512232241313203004
6253414343430305
722424412333632
oct3262417650341
9728874183135
10230120444129
1189658a9a734
1238722a55395
1318914635394
14b1d051d889
155ebc94046e
hex35943f50e1

230120444129 has 2 divisors, whose sum is σ = 230120444130. Its totient is φ = 230120444128.

The previous prime is 230120444069. The next prime is 230120444143. The reversal of 230120444129 is 921444021032.

230120444129 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., 229463034529 + 657409600 = 479023^2 + 25640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230120444129 is a prime.

It is a super-2 number, since 2×2301204441292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230120444095 and 230120444104.

It is not a weakly prime, because it can be changed into another prime (230120414129) 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, 115060222064 + 115060222065.

It is an arithmetic number, because the mean of its divisors is an integer number (115060222065).

Almost surely, 2230120444129 is an apocalyptic number.

It is an amenable number.

230120444129 is a deficient number, since it is larger than the sum of its proper divisors (1).

230120444129 is an equidigital number, since it uses as much as digits as its factorization.

230120444129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 230120444129 in words is "two hundred thirty billion, one hundred twenty million, four hundred forty-four thousand, one hundred twenty-nine".