Search a number
-
+
31311000313 is a prime number
BaseRepresentation
bin11101001010010001…
…111111001011111001
32222211010011121201021
4131022101333023321
51003111104002223
622214543222441
72155626053125
oct351221771371
988733147637
1031311000313
1112308274a6a
126099ba7a21
132c4cb82028
1417305d0585
15c33c8d65d
hex74a47f2f9

31311000313 has 2 divisors, whose sum is σ = 31311000314. Its totient is φ = 31311000312.

The previous prime is 31311000269. The next prime is 31311000319. The reversal of 31311000313 is 31300011313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22078096569 + 9232903744 = 148587^2 + 96088^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311000313 - 213 = 31310992121 is a prime.

It is not a weakly prime, because it can be changed into another prime (31311000319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655500156 + 15655500157.

It is an arithmetic number, because the mean of its divisors is an integer number (15655500157).

Almost surely, 231311000313 is an apocalyptic number.

It is an amenable number.

31311000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311000313 is an equidigital number, since it uses as much as digits as its factorization.

31311000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 31311000313 its reverse (31300011313), we get a palindrome (62611011626).

It can be divided in two parts, 31311000 and 313, that added together give a palindrome (31311313).

The spelling of 31311000313 in words is "thirty-one billion, three hundred eleven million, three hundred thirteen", and thus it is an aban number.