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114217967953 is a prime number
BaseRepresentation
bin110101001011111101…
…0111110000101010001
3101220211001020221122101
41222113322332011101
53332404244433303
6124245423240401
711152266465055
oct1522772760521
9356731227571
10114217967953
1144492079941
121a177449101
13aa0332712b
145757475c65
152e87575d1d
hex1a97ebe151

114217967953 has 2 divisors, whose sum is σ = 114217967954. Its totient is φ = 114217967952.

The previous prime is 114217967939. The next prime is 114217968031. The reversal of 114217967953 is 359769712411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113492850769 + 725117184 = 336887^2 + 26928^2 .

It is an emirp because it is prime and its reverse (359769712411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114217967953 - 25 = 114217967921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114217967894 and 114217967903.

It is not a weakly prime, because it can be changed into another prime (114217967933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57108983976 + 57108983977.

It is an arithmetic number, because the mean of its divisors is an integer number (57108983977).

Almost surely, 2114217967953 is an apocalyptic number.

It is an amenable number.

114217967953 is a deficient number, since it is larger than the sum of its proper divisors (1).

114217967953 is an equidigital number, since it uses as much as digits as its factorization.

114217967953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2857680, while the sum is 55.

The spelling of 114217967953 in words is "one hundred fourteen billion, two hundred seventeen million, nine hundred sixty-seven thousand, nine hundred fifty-three".