Search a number
-
+
114222106993 is a prime number
BaseRepresentation
bin110101001100000101…
…0110000100101110001
3101220211100001020100011
41222120022300211301
53332411324410433
6124250052054521
711152346614201
oct1523012604561
9356740036304
10114222106993
1144494446635
121a178904441
13aa04146077
145757c32401
152e87ae23cd
hex1a982b0971

114222106993 has 2 divisors, whose sum is σ = 114222106994. Its totient is φ = 114222106992.

The previous prime is 114222106951. The next prime is 114222106997. The reversal of 114222106993 is 399601222411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113914350144 + 307756849 = 337512^2 + 17543^2 .

It is an emirp because it is prime and its reverse (399601222411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114222106993 is a prime.

It is not a weakly prime, because it can be changed into another prime (114222106997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57111053496 + 57111053497.

It is an arithmetic number, because the mean of its divisors is an integer number (57111053497).

Almost surely, 2114222106993 is an apocalyptic number.

It is an amenable number.

114222106993 is a deficient number, since it is larger than the sum of its proper divisors (1).

114222106993 is an equidigital number, since it uses as much as digits as its factorization.

114222106993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 114222106993 in words is "one hundred fourteen billion, two hundred twenty-two million, one hundred six thousand, nine hundred ninety-three".