Search a number
-
+
231312210313 is a prime number
BaseRepresentation
bin1101011101101101001…
…0000011100110001001
3211010001112201210000111
43113123102003212021
512242211411212223
6254132515234321
722466063226622
oct3273322034611
9733045653014
10231312210313
118a10a792268
12389b5ba89a1
1318a74505b82
14b2a4908a49
15603c3a130d
hex35db483989

231312210313 has 2 divisors, whose sum is σ = 231312210314. Its totient is φ = 231312210312.

The previous prime is 231312210301. The next prime is 231312210361. The reversal of 231312210313 is 313012213132.

231312210313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220461238089 + 10850972224 = 469533^2 + 104168^2 .

It is a cyclic number.

It is not a de Polignac number, because 231312210313 - 221 = 231310113161 is a prime.

It is not a weakly prime, because it can be changed into another prime (231312210373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115656105156 + 115656105157.

It is an arithmetic number, because the mean of its divisors is an integer number (115656105157).

Almost surely, 2231312210313 is an apocalyptic number.

It is an amenable number.

231312210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

231312210313 is an equidigital number, since it uses as much as digits as its factorization.

231312210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 231312210313 its reverse (313012213132), we get a palindrome (544324423445).

The spelling of 231312210313 in words is "two hundred thirty-one billion, three hundred twelve million, two hundred ten thousand, three hundred thirteen".