Search a number
-
+
313444341213109 is a prime number
BaseRepresentation
bin100011101000100110111001…
…0100111010110011110110101
31112002210222122001211111110121
41013101031302213112132311
5312040433002322304414
63030350201551051541
7123010414655316331
oct10721156247263665
91462728561744417
10313444341213109
1190966aa9157287
122b1a3743810bb1
13105b889cca0072
145758b039a27c1
15263861759b724
hex11d13729d67b5

313444341213109 has 2 divisors, whose sum is σ = 313444341213110. Its totient is φ = 313444341213108.

The previous prime is 313444341213007. The next prime is 313444341213163. The reversal of 313444341213109 is 901312143444313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302837086906225 + 10607254306884 = 17402215^2 + 3256878^2 .

It is a cyclic number.

It is not a de Polignac number, because 313444341213109 - 211 = 313444341211061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313444342213109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156722170606554 + 156722170606555.

It is an arithmetic number, because the mean of its divisors is an integer number (156722170606555).

Almost surely, 2313444341213109 is an apocalyptic number.

It is an amenable number.

313444341213109 is a deficient number, since it is larger than the sum of its proper divisors (1).

313444341213109 is an equidigital number, since it uses as much as digits as its factorization.

313444341213109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 313444341213109 in words is "three hundred thirteen trillion, four hundred forty-four billion, three hundred forty-one million, two hundred thirteen thousand, one hundred nine".