Search a number
-
+
322313212101113 is a prime number
BaseRepresentation
bin100100101001001000110010…
…0100000111000000111111001
31120021012211201221002020201022
41021102101210200320013321
5314221234424244213423
63101300351233432225
7124614234602114552
oct11122214440700771
91507184657066638
10322313212101113
11937762a15a7772
123019656270b675
1310ab000c08380c
145984085263329
15273e18dc2cdc8
hex12524648381f9

322313212101113 has 2 divisors, whose sum is σ = 322313212101114. Its totient is φ = 322313212101112.

The previous prime is 322313212101107. The next prime is 322313212101131. The reversal of 322313212101113 is 311101212313223.

Together with next prime (322313212101131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245940084855529 + 76373127245584 = 15682477^2 + 8739172^2 .

It is a cyclic number.

It is not a de Polignac number, because 322313212101113 - 212 = 322313212097017 is a prime.

It is not a weakly prime, because it can be changed into another prime (322313212101173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161156606050556 + 161156606050557.

It is an arithmetic number, because the mean of its divisors is an integer number (161156606050557).

Almost surely, 2322313212101113 is an apocalyptic number.

It is an amenable number.

322313212101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

322313212101113 is an equidigital number, since it uses as much as digits as its factorization.

322313212101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 322313212101113 its reverse (311101212313223), we get a palindrome (633414424414336).

The spelling of 322313212101113 in words is "three hundred twenty-two trillion, three hundred thirteen billion, two hundred twelve million, one hundred one thousand, one hundred thirteen".