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313104193 is a prime number
BaseRepresentation
bin10010101010011…
…001011101000001
3210211011100012121
4102222121131001
51120123313233
651022524241
710521225133
oct2252313501
9724140177
10313104193
111508148a6
1288a36681
134cb3856c
142d825053
151c74b92d
hex12a99741

313104193 has 2 divisors, whose sum is σ = 313104194. Its totient is φ = 313104192.

The previous prime is 313104179. The next prime is 313104217. The reversal of 313104193 is 391401313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312299584 + 804609 = 17672^2 + 897^2 .

It is a cyclic number.

It is not a de Polignac number, because 313104193 - 25 = 313104161 is a prime.

It is not a weakly prime, because it can be changed into another prime (313104133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156552096 + 156552097.

It is an arithmetic number, because the mean of its divisors is an integer number (156552097).

Almost surely, 2313104193 is an apocalyptic number.

It is an amenable number.

313104193 is a deficient number, since it is larger than the sum of its proper divisors (1).

313104193 is an equidigital number, since it uses as much as digits as its factorization.

313104193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 313104193 is about 17694.7504362170. The cubic root of 313104193 is about 679.0414644957.

The spelling of 313104193 in words is "three hundred thirteen million, one hundred four thousand, one hundred ninety-three".