Search a number
-
+
334312143131293 is a prime number
BaseRepresentation
bin100110000000011100001110…
…0100010010001001010011101
31121211200221002001201001120221
41030000320130202101022131
5322304332232120200133
63143004513420041341
7130263153363053155
oct11400703442211235
91554627061631527
10334312143131293
1197581a90330738
12315b3b24393251
1311470666168582
145c7ab18c9d765
15289b35cd96a2d
hex1300e1c89129d

334312143131293 has 2 divisors, whose sum is σ = 334312143131294. Its totient is φ = 334312143131292.

The previous prime is 334312143131273. The next prime is 334312143131353. The reversal of 334312143131293 is 392131341213433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238007694540004 + 96304448591289 = 15427498^2 + 9813483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334312143131293 is a prime.

It is a super-3 number, since 3×3343121431312933 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (334312143131203) 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, 167156071565646 + 167156071565647.

It is an arithmetic number, because the mean of its divisors is an integer number (167156071565647).

Almost surely, 2334312143131293 is an apocalyptic number.

It is an amenable number.

334312143131293 is a deficient number, since it is larger than the sum of its proper divisors (1).

334312143131293 is an equidigital number, since it uses as much as digits as its factorization.

334312143131293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 419904, while the sum is 43.

The spelling of 334312143131293 in words is "three hundred thirty-four trillion, three hundred twelve billion, one hundred forty-three million, one hundred thirty-one thousand, two hundred ninety-three".