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233414302117 is a prime number
BaseRepresentation
bin1101100101100010010…
…0111001100110100101
3211022111001012002212111
43121120210321212211
512311013030131432
6255121250321021
722602136555303
oct3313044714645
9738431162774
10233414302117
118aa99319a17
12392a1b89171
131901ab76b89
14b423b7b273
156111bcd347
hex36589399a5

233414302117 has 2 divisors, whose sum is σ = 233414302118. Its totient is φ = 233414302116.

The previous prime is 233414302103. The next prime is 233414302123. The reversal of 233414302117 is 711203414332.

233414302117 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., 135369541476 + 98044760641 = 367926^2 + 313121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233414302117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233414002117) 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, 116707151058 + 116707151059.

It is an arithmetic number, because the mean of its divisors is an integer number (116707151059).

Almost surely, 2233414302117 is an apocalyptic number.

It is an amenable number.

233414302117 is a deficient number, since it is larger than the sum of its proper divisors (1).

233414302117 is an equidigital number, since it uses as much as digits as its factorization.

233414302117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 233414302117 its reverse (711203414332), we get a palindrome (944617716449).

The spelling of 233414302117 in words is "two hundred thirty-three billion, four hundred fourteen million, three hundred two thousand, one hundred seventeen".