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4202114113 is a prime number
BaseRepresentation
bin1111101001110111…
…0010110001000001
3101211212000111220001
43322131302301001
532101220122423
61532545520001
7206063244361
oct37235626101
911755014801
104202114113
111866a9058a
12993343001
1351c769072
142bc1269a1
15198d9acad
hexfa772c41

4202114113 has 2 divisors, whose sum is σ = 4202114114. Its totient is φ = 4202114112.

The previous prime is 4202114093. The next prime is 4202114141. The reversal of 4202114113 is 3114112024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4012969104 + 189145009 = 63348^2 + 13753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4202114113 is a prime.

It is not a weakly prime, because it can be changed into another prime (4202114173) 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, 2101057056 + 2101057057.

It is an arithmetic number, because the mean of its divisors is an integer number (2101057057).

Almost surely, 24202114113 is an apocalyptic number.

It is an amenable number.

4202114113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4202114113 is an equidigital number, since it uses as much as digits as its factorization.

4202114113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4202114113 is about 64823.7156679560. The cubic root of 4202114113 is about 1613.6993125578.

Adding to 4202114113 its reverse (3114112024), we get a palindrome (7316226137).

The spelling of 4202114113 in words is "four billion, two hundred two million, one hundred fourteen thousand, one hundred thirteen".