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313323193 is a prime number
BaseRepresentation
bin10010101011001…
…110111010111001
3210211120110121201
4102223032322321
51120202320233
651031334201
710523126461
oct2253167271
9724513551
10313323193
11150954397
1288b21361
134cbb4151
142d880ba1
151c79177d
hex12aceeb9

313323193 has 2 divisors, whose sum is σ = 313323194. Its totient is φ = 313323192.

The previous prime is 313323137. The next prime is 313323239. The reversal of 313323193 is 391323313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234947584 + 78375609 = 15328^2 + 8853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313323193 is a prime.

It is not a weakly prime, because it can be changed into another prime (313323793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156661596 + 156661597.

It is an arithmetic number, because the mean of its divisors is an integer number (156661597).

Almost surely, 2313323193 is an apocalyptic number.

It is an amenable number.

313323193 is a deficient number, since it is larger than the sum of its proper divisors (1).

313323193 is an equidigital number, since it uses as much as digits as its factorization.

313323193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 28.

The square root of 313323193 is about 17700.9376305325. The cubic root of 313323193 is about 679.1997455896.

The spelling of 313323193 in words is "three hundred thirteen million, three hundred twenty-three thousand, one hundred ninety-three".