Search a number
-
+
114202117 is a prime number
BaseRepresentation
bin1101100111010…
…01011000000101
321221220001212001
412303221120011
5213213431432
615155425301
72554462531
oct663513005
9257801761
10114202117
1159511817
12322b5231
131a876c23
141124abc1
15a05c9e7
hex6ce9605

114202117 has 2 divisors, whose sum is σ = 114202118. Its totient is φ = 114202116.

The previous prime is 114202079. The next prime is 114202139. The reversal of 114202117 is 711202411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95531076 + 18671041 = 9774^2 + 4321^2 .

It is an emirp because it is prime and its reverse (711202411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114202117 - 219 = 113677829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114202094 and 114202103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114202157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57101058 + 57101059.

It is an arithmetic number, because the mean of its divisors is an integer number (57101059).

Almost surely, 2114202117 is an apocalyptic number.

It is an amenable number.

114202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

114202117 is an equidigital number, since it uses as much as digits as its factorization.

114202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 114202117 is about 10686.5390562146. The cubic root of 114202117 is about 485.1671468388.

Adding to 114202117 its reverse (711202411), we get a palindrome (825404528).

The spelling of 114202117 in words is "one hundred fourteen million, two hundred two thousand, one hundred seventeen".