Search a number
-
+
4136842201 is a prime number
BaseRepresentation
bin1111011010010011…
…0011001111011001
3101200022012100122211
43312210303033121
531433012422301
61522254515121
7204341402302
oct36644631731
911608170584
104136842201
111833159858
12975505aa1
1350c09462b
142b35b57a9
151932a6051
hexf69333d9

4136842201 has 2 divisors, whose sum is σ = 4136842202. Its totient is φ = 4136842200.

The previous prime is 4136842187. The next prime is 4136842207. The reversal of 4136842201 is 1022486314.

4136842201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4121640000 + 15202201 = 64200^2 + 3899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4136842201 is a prime.

It is a super-2 number, since 2×41368422012 = 34226926791949048802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4136842207) 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, 2068421100 + 2068421101.

It is an arithmetic number, because the mean of its divisors is an integer number (2068421101).

Almost surely, 24136842201 is an apocalyptic number.

It is an amenable number.

4136842201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4136842201 is an equidigital number, since it uses as much as digits as its factorization.

4136842201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4136842201 is about 64318.2882312644. The cubic root of 4136842201 is about 1605.3004165227.

The spelling of 4136842201 in words is "four billion, one hundred thirty-six million, eight hundred forty-two thousand, two hundred one".