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314138113 is a prime number
BaseRepresentation
bin10010101110010…
…101111000000001
3210220002212110221
4102232111320001
51120404404423
651101023041
710533062362
oct2256257001
9726085427
10314138113
11151360683
1289254a81
135010b053
142da13b69
151c8a2e5d
hex12b95e01

314138113 has 2 divisors, whose sum is σ = 314138114. Its totient is φ = 314138112.

The previous prime is 314138107. The next prime is 314138119. The reversal of 314138113 is 311831413.

It is a balanced prime because it is at equal distance from previous prime (314138107) and next prime (314138119).

It can be written as a sum of positive squares in only one way, i.e., 283855104 + 30283009 = 16848^2 + 5503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314138113 is a prime.

It is not a weakly prime, because it can be changed into another prime (314138119) 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, 157069056 + 157069057.

It is an arithmetic number, because the mean of its divisors is an integer number (157069057).

Almost surely, 2314138113 is an apocalyptic number.

It is an amenable number.

314138113 is a deficient number, since it is larger than the sum of its proper divisors (1).

314138113 is an equidigital number, since it uses as much as digits as its factorization.

314138113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 314138113 is about 17723.9418019807. The cubic root of 314138113 is about 679.7880777040.

Adding to 314138113 its reverse (311831413), we get a palindrome (625969526).

The spelling of 314138113 in words is "three hundred fourteen million, one hundred thirty-eight thousand, one hundred thirteen".