Search a number
-
+
311342343243131 is a prime number
BaseRepresentation
bin100011011001010100000100…
…1110001011100010101111011
31111211101001000012210220200202
41012302220021301130111323
5311302013104332240011
63022100410431352415
7122402512335344354
oct10662501161342573
91454331005726622
10311342343243131
119022660109aa42
122ab0429498270b
13104955c3012c05
1456c509a9a4d2b
1525edadec7323b
hex11b2a09c5c57b

311342343243131 has 2 divisors, whose sum is σ = 311342343243132. Its totient is φ = 311342343243130.

The previous prime is 311342343243103. The next prime is 311342343243133. The reversal of 311342343243131 is 131342343243113.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311342343243131 is a prime.

It is a super-3 number, since 3×3113423432431313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 311342343243133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (311342343243133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155671171621565 + 155671171621566.

It is an arithmetic number, because the mean of its divisors is an integer number (155671171621566).

Almost surely, 2311342343243131 is an apocalyptic number.

311342343243131 is a deficient number, since it is larger than the sum of its proper divisors (1).

311342343243131 is an equidigital number, since it uses as much as digits as its factorization.

311342343243131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 186624, while the sum is 38.

Adding to 311342343243131 its reverse (131342343243113), we get a palindrome (442684686486244).

The spelling of 311342343243131 in words is "three hundred eleven trillion, three hundred forty-two billion, three hundred forty-three million, two hundred forty-three thousand, one hundred thirty-one".