Search a number
-
+
313131389 is a prime number
BaseRepresentation
bin10010101010100…
…000000101111101
3210211012201111212
4102222200011331
51120130201024
651023254205
710521400334
oct2252400575
9724181455
10313131389
1115083327a
1288a4a365
134cb47a5c
142d830d1b
151c754a0e
hex12aa017d

313131389 has 2 divisors, whose sum is σ = 313131390. Its totient is φ = 313131388.

The previous prime is 313131353. The next prime is 313131451. The reversal of 313131389 is 983131313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271425625 + 41705764 = 16475^2 + 6458^2 .

It is an emirp because it is prime and its reverse (983131313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313131389 - 216 = 313065853 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313131089) 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, 156565694 + 156565695.

It is an arithmetic number, because the mean of its divisors is an integer number (156565695).

Almost surely, 2313131389 is an apocalyptic number.

It is an amenable number.

313131389 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131389 is an equidigital number, since it uses as much as digits as its factorization.

313131389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 32.

The square root of 313131389 is about 17695.5188960369. The cubic root of 313131389 is about 679.0611242740.

The spelling of 313131389 in words is "three hundred thirteen million, one hundred thirty-one thousand, three hundred eighty-nine".