Search a number
-
+
31312433422313 is a prime number
BaseRepresentation
bin1110001111010011111100…
…11110001001111111101001
311002212102212022201111200222
413013221332132021333221
513101010330424003223
6150332422222135425
76411151201410341
oct707517636117751
9132772768644628
1031312433422313
119a8258a39847a
123618686721575
1314619994123c4
147a375bd37d21
153947955360c8
hex1c7a7e789fe9

31312433422313 has 2 divisors, whose sum is σ = 31312433422314. Its totient is φ = 31312433422312.

The previous prime is 31312433422301. The next prime is 31312433422363. The reversal of 31312433422313 is 31322433421313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27806300756224 + 3506132666089 = 5273168^2 + 1872467^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312433422313 - 216 = 31312433356777 is a prime.

It is not a weakly prime, because it can be changed into another prime (31312433422363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656216711156 + 15656216711157.

It is an arithmetic number, because the mean of its divisors is an integer number (15656216711157).

Almost surely, 231312433422313 is an apocalyptic number.

It is an amenable number.

31312433422313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312433422313 is an equidigital number, since it uses as much as digits as its factorization.

31312433422313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 35.

Adding to 31312433422313 its reverse (31322433421313), we get a palindrome (62634866843626).

It can be divided in two parts, 3131243 and 3422313, that added together give a palindrome (6553556).

The spelling of 31312433422313 in words is "thirty-one trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-two thousand, three hundred thirteen".