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114033321329 is a prime number
BaseRepresentation
bin110101000110011101…
…0100110010101110001
3101220100011210221002112
41222030322212111301
53332020012240304
6124215225455105
711144565144524
oct1521472462561
9356304727075
10114033321329
11443a7923124
121a125641495
13a9a3cb7285
14573ab2cbbb
152e76250b6e
hex1a8cea6571

114033321329 has 2 divisors, whose sum is σ = 114033321330. Its totient is φ = 114033321328.

The previous prime is 114033321301. The next prime is 114033321341. The reversal of 114033321329 is 923123330411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113963632225 + 69689104 = 337585^2 + 8348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114033321329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114033321295 and 114033321304.

It is not a weakly prime, because it can be changed into another prime (114033371329) 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, 57016660664 + 57016660665.

It is an arithmetic number, because the mean of its divisors is an integer number (57016660665).

Almost surely, 2114033321329 is an apocalyptic number.

It is an amenable number.

114033321329 is a deficient number, since it is larger than the sum of its proper divisors (1).

114033321329 is an equidigital number, since it uses as much as digits as its factorization.

114033321329 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 32.

The spelling of 114033321329 in words is "one hundred fourteen billion, thirty-three million, three hundred twenty-one thousand, three hundred twenty-nine".