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4131301217 is a prime number
BaseRepresentation
bin1111011000111110…
…1010011101100001
3101122220202211212012
43312033222131201
531430103114332
61521540042305
7204243323651
oct36617523541
911586684765
104131301217
11183001482a
12973693395
1350aba4544
142b2972361
15192a5e3b2
hexf63ea761

4131301217 has 2 divisors, whose sum is σ = 4131301218. Its totient is φ = 4131301216.

The previous prime is 4131301183. The next prime is 4131301219. The reversal of 4131301217 is 7121031314.

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., 3809852176 + 321449041 = 61724^2 + 17929^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131301217 - 28 = 4131300961 is a prime.

Together with 4131301219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4131301192 and 4131301201.

It is not a weakly prime, because it can be changed into another prime (4131301219) 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, 2065650608 + 2065650609.

It is an arithmetic number, because the mean of its divisors is an integer number (2065650609).

Almost surely, 24131301217 is an apocalyptic number.

It is an amenable number.

4131301217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131301217 is an equidigital number, since it uses as much as digits as its factorization.

4131301217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 4131301217 is about 64275.1990817609. The cubic root of 4131301217 is about 1604.5833705398.

The spelling of 4131301217 in words is "four billion, one hundred thirty-one million, three hundred one thousand, two hundred seventeen".