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114200112029 is a prime number
BaseRepresentation
bin110101001011011011…
…0110110101110011101
3101220202210122202220212
41222112312312232131
53332340212041104
6124243544422205
711151661636013
oct1522666665635
9356683582825
10114200112029
1144482a93483
121a171477965
13a9cc7148b3
145754d488b3
152e85bea36e
hex1a96db6b9d

114200112029 has 2 divisors, whose sum is σ = 114200112030. Its totient is φ = 114200112028.

The previous prime is 114200112017. The next prime is 114200112031. The reversal of 114200112029 is 920211002411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84507652804 + 29692459225 = 290702^2 + 172315^2 .

It is a cyclic number.

It is not a de Polignac number, because 114200112029 - 212 = 114200107933 is a prime.

Together with 114200112031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 114200111995 and 114200112013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114200112629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57100056014 + 57100056015.

It is an arithmetic number, because the mean of its divisors is an integer number (57100056015).

Almost surely, 2114200112029 is an apocalyptic number.

It is an amenable number.

114200112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

114200112029 is an equidigital number, since it uses as much as digits as its factorization.

114200112029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 114200112029 in words is "one hundred fourteen billion, two hundred million, one hundred twelve thousand, twenty-nine".