Search a number
-
+
2971996201 is a prime number
BaseRepresentation
bin1011000100100101…
…0001000000101001
321200010100001100101
42301021101000221
522041312334301
61210524105401
7133435356646
oct26111210051
97603301311
102971996201
111295683809
126ab395261
1338495b045
142029d6dcd
15125db1701
hexb1251029

2971996201 has 2 divisors, whose sum is σ = 2971996202. Its totient is φ = 2971996200.

The previous prime is 2971996199. The next prime is 2971996229. The reversal of 2971996201 is 1026991792.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2894978025 + 77018176 = 53805^2 + 8776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2971996201 - 21 = 2971996199 is a prime.

It is a super-2 number, since 2×29719962012 = 17665522837516864802, which contains 22 as substring.

Together with 2971996199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2971996231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1485998100 + 1485998101.

It is an arithmetic number, because the mean of its divisors is an integer number (1485998101).

Almost surely, 22971996201 is an apocalyptic number.

It is an amenable number.

2971996201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2971996201 is an equidigital number, since it uses as much as digits as its factorization.

2971996201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 46.

The square root of 2971996201 is about 54516.0178387967. The cubic root of 2971996201 is about 1437.7479266489.

The spelling of 2971996201 in words is "two billion, nine hundred seventy-one million, nine hundred ninety-six thousand, two hundred one".