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114033321289 is a prime number
BaseRepresentation
bin110101000110011101…
…0100110010101001001
3101220100011210221001001
41222030322212111021
53332020012240124
6124215225455001
711144565144436
oct1521472462511
9356304727031
10114033321289
11443a7923098
121a125641461
13a9a3cb7254
14573ab2cb8d
152e76250b44
hex1a8cea6549

114033321289 has 2 divisors, whose sum is σ = 114033321290. Its totient is φ = 114033321288.

The previous prime is 114033321287. The next prime is 114033321301. The reversal of 114033321289 is 982123330411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109555704064 + 4477617225 = 330992^2 + 66915^2 .

It is a cyclic number.

It is not a de Polignac number, because 114033321289 - 21 = 114033321287 is a prime.

Together with 114033321287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (114033321287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57016660644 + 57016660645.

It is an arithmetic number, because the mean of its divisors is an integer number (57016660645).

Almost surely, 2114033321289 is an apocalyptic number.

It is an amenable number.

114033321289 is a deficient number, since it is larger than the sum of its proper divisors (1).

114033321289 is an equidigital number, since it uses as much as digits as its factorization.

114033321289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 114033321289 in words is "one hundred fourteen billion, thirty-three million, three hundred twenty-one thousand, two hundred eighty-nine".