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4135101413 is a prime number
BaseRepresentation
bin1111011001111000…
…1010001111100101
3101200011220220202012
43312132022033211
531432041221123
61522153324005
7204320532152
oct36636121745
911604826665
104135101413
11183217a993
12974a06605
1350b905191
142b3281229
15193060378
hexf678a3e5

4135101413 has 2 divisors, whose sum is σ = 4135101414. Its totient is φ = 4135101412.

The previous prime is 4135101379. The next prime is 4135101419. The reversal of 4135101413 is 3141015314.

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., 4112272129 + 22829284 = 64127^2 + 4778^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4135101413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4135101419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2067550706 + 2067550707.

It is an arithmetic number, because the mean of its divisors is an integer number (2067550707).

Almost surely, 24135101413 is an apocalyptic number.

It is an amenable number.

4135101413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4135101413 is an equidigital number, since it uses as much as digits as its factorization.

4135101413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4135101413 is about 64304.7542021583. The cubic root of 4135101413 is about 1605.0752141717.

Adding to 4135101413 its reverse (3141015314), we get a palindrome (7276116727).

The spelling of 4135101413 in words is "four billion, one hundred thirty-five million, one hundred one thousand, four hundred thirteen".