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114240257 is a prime number
BaseRepresentation
bin1101100111100…
…10101100000001
321221222000011122
412303302230001
5213221142012
615200322025
72555011655
oct663625401
9257860148
10114240257
115953843a
1232313315
131a88b3b1
141125aa65
15a068e72
hex6cf2b01

114240257 has 2 divisors, whose sum is σ = 114240258. Its totient is φ = 114240256.

The previous prime is 114240209. The next prime is 114240271. The reversal of 114240257 is 752042411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113401201 + 839056 = 10649^2 + 916^2 .

It is an emirp because it is prime and its reverse (752042411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114240257 - 214 = 114223873 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114240277) 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, 57120128 + 57120129.

It is an arithmetic number, because the mean of its divisors is an integer number (57120129).

Almost surely, 2114240257 is an apocalyptic number.

It is an amenable number.

114240257 is a deficient number, since it is larger than the sum of its proper divisors (1).

114240257 is an equidigital number, since it uses as much as digits as its factorization.

114240257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 114240257 is about 10688.3233951822. The cubic root of 114240257 is about 485.2211511366.

Adding to 114240257 its reverse (752042411), we get a palindrome (866282668).

The spelling of 114240257 in words is "one hundred fourteen million, two hundred forty thousand, two hundred fifty-seven".