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314113 is a prime number
BaseRepresentation
bin1001100101100000001
3120221212211
41030230001
540022423
610422121
72445532
oct1145401
9527784
10314113
111a4aa8
12131941
13acc87
1482689
156310d
hex4cb01

314113 has 2 divisors, whose sum is σ = 314114. Its totient is φ = 314112.

The previous prime is 314107. The next prime is 314117. The reversal of 314113 is 311413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 9409 = 552^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 314113 - 217 = 183041 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 314093 and 314102.

It is not a weakly prime, because it can be changed into another prime (314117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157056 + 157057.

It is an arithmetic number, because the mean of its divisors is an integer number (157057).

2314113 is an apocalyptic number.

It is an amenable number.

314113 is a deficient number, since it is larger than the sum of its proper divisors (1).

314113 is an equidigital number, since it uses as much as digits as its factorization.

314113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 13.

The square root of 314113 is about 560.4578485488. The cubic root of 314113 is about 67.9769962558.

Adding to 314113 its reverse (311413), we get a palindrome (625526).

The spelling of 314113 in words is "three hundred fourteen thousand, one hundred thirteen".