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2414010113 is a prime number
BaseRepresentation
bin1000111111100010…
…1101111100000001
320020020101102022222
42033320231330001
514420441310423
61035312340425
7113551514234
oct21770557401
96206342288
102414010113
111029711589
12574544715
132c6182868
1418c86941b
15e1de23c8
hex8fe2df01

2414010113 has 2 divisors, whose sum is σ = 2414010114. Its totient is φ = 2414010112.

The previous prime is 2414010089. The next prime is 2414010119. The reversal of 2414010113 is 3110104142.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1403851024 + 1010159089 = 37468^2 + 31783^2 .

It is a cyclic number.

It is not a de Polignac number, because 2414010113 - 212 = 2414006017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2414010091 and 2414010100.

It is not a weakly prime, because it can be changed into another prime (2414010119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207005056 + 1207005057.

It is an arithmetic number, because the mean of its divisors is an integer number (1207005057).

Almost surely, 22414010113 is an apocalyptic number.

It is an amenable number.

2414010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414010113 is an equidigital number, since it uses as much as digits as its factorization.

2414010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2414010113 is about 49132.5769016851. The cubic root of 2414010113 is about 1341.4660780652.

Adding to 2414010113 its reverse (3110104142), we get a palindrome (5524114255).

The spelling of 2414010113 in words is "two billion, four hundred fourteen million, ten thousand, one hundred thirteen".