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122343214337 is a prime number
BaseRepresentation
bin111000111110000111…
…0010100110100000001
3102200210022100020021122
41301330032110310001
54001024330324322
6132111555402025
711560531110041
oct1617416246401
9380708306248
10122343214337
11479816117a3
121b8645b3315
13b6c97b0126
145cc8623721
1532b0a61442
hex1c7c394d01

122343214337 has 2 divisors, whose sum is σ = 122343214338. Its totient is φ = 122343214336.

The previous prime is 122343214313. The next prime is 122343214361. The reversal of 122343214337 is 733412343221.

It is a balanced prime because it is at equal distance from previous prime (122343214313) and next prime (122343214361).

It can be written as a sum of positive squares in only one way, i.e., 111612119056 + 10731095281 = 334084^2 + 103591^2 .

It is an emirp because it is prime and its reverse (733412343221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122343214337 - 210 = 122343213313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122343214297 and 122343214306.

It is not a weakly prime, because it can be changed into another prime (122343214387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61171607168 + 61171607169.

It is an arithmetic number, because the mean of its divisors is an integer number (61171607169).

Almost surely, 2122343214337 is an apocalyptic number.

It is an amenable number.

122343214337 is a deficient number, since it is larger than the sum of its proper divisors (1).

122343214337 is an equidigital number, since it uses as much as digits as its factorization.

122343214337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 35.

Adding to 122343214337 its reverse (733412343221), we get a palindrome (855755557558).

The spelling of 122343214337 in words is "one hundred twenty-two billion, three hundred forty-three million, two hundred fourteen thousand, three hundred thirty-seven".