Search a number
-
+
114307213 is a prime number
BaseRepresentation
bin1101101000000…
…11000010001101
321222002102000111
412310003002031
5213230312323
615202000021
72555411116
oct664030215
9258072014
10114307213
1159583779
1232346011
131a8b2a07
141127720d
15a07dc0d
hex6d0308d

114307213 has 2 divisors, whose sum is σ = 114307214. Its totient is φ = 114307212.

The previous prime is 114307189. The next prime is 114307223. The reversal of 114307213 is 312703411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69189124 + 45118089 = 8318^2 + 6717^2 .

It is an emirp because it is prime and its reverse (312703411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114307213 - 225 = 80752781 is a prime.

It is a super-2 number, since 2×1143072132 = 26132277887654738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114307223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57153606 + 57153607.

It is an arithmetic number, because the mean of its divisors is an integer number (57153607).

Almost surely, 2114307213 is an apocalyptic number.

It is an amenable number.

114307213 is a deficient number, since it is larger than the sum of its proper divisors (1).

114307213 is an equidigital number, since it uses as much as digits as its factorization.

114307213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 114307213 is about 10691.4551395028. The cubic root of 114307213 is about 485.3159283578.

The spelling of 114307213 in words is "one hundred fourteen million, three hundred seven thousand, two hundred thirteen".