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114223013303249 is a prime number
BaseRepresentation
bin11001111110001010011110…
…001000100001001111010001
3112222102121120012010002202102
4121332022132020201033101
5104432412212401200444
61042533154454530145
733026224515364364
oct3176123610411721
9488377505102672
10114223013303249
1133438787249344
1210989228066955
134b97251155456
14202c5cd9140db
15d313091cd84e
hex67e29e2213d1

114223013303249 has 2 divisors, whose sum is σ = 114223013303250. Its totient is φ = 114223013303248.

The previous prime is 114223013303239. The next prime is 114223013303351. The reversal of 114223013303249 is 942303310322411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77695410250000 + 36527603053249 = 8814500^2 + 6043807^2 .

It is a cyclic number.

It is not a de Polignac number, because 114223013303249 - 24 = 114223013303233 is a prime.

It is not a weakly prime, because it can be changed into another prime (114223013303239) 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, 57111506651624 + 57111506651625.

It is an arithmetic number, because the mean of its divisors is an integer number (57111506651625).

Almost surely, 2114223013303249 is an apocalyptic number.

It is an amenable number.

114223013303249 is a deficient number, since it is larger than the sum of its proper divisors (1).

114223013303249 is an equidigital number, since it uses as much as digits as its factorization.

114223013303249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 114223013303249 in words is "one hundred fourteen trillion, two hundred twenty-three billion, thirteen million, three hundred three thousand, two hundred forty-nine".