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319188041 is a prime number
BaseRepresentation
bin10011000001100…
…110110001001001
3211020121102200022
4103001212301021
51123203004131
651401150225
710624024244
oct2301466111
9736542608
10319188041
1115419a777
128aa8b375
1351188783
143056a25b
151d04e37b
hex13066c49

319188041 has 2 divisors, whose sum is σ = 319188042. Its totient is φ = 319188040.

The previous prime is 319188029. The next prime is 319188119. The reversal of 319188041 is 140881913.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189888400 + 129299641 = 13780^2 + 11371^2 .

It is a cyclic number.

It is not a de Polignac number, because 319188041 - 210 = 319187017 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 319187992 and 319188010.

It is not a weakly prime, because it can be changed into another prime (319188241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159594020 + 159594021.

It is an arithmetic number, because the mean of its divisors is an integer number (159594021).

Almost surely, 2319188041 is an apocalyptic number.

It is an amenable number.

319188041 is a deficient number, since it is larger than the sum of its proper divisors (1).

319188041 is an equidigital number, since it uses as much as digits as its factorization.

319188041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 319188041 is about 17865.8344613399. The cubic root of 319188041 is about 683.4113760293.

The spelling of 319188041 in words is "three hundred nineteen million, one hundred eighty-eight thousand, forty-one".