Search a number
-
+
122135255057 is a prime number
BaseRepresentation
bin111000110111111010…
…1000001100000010001
3102200020211000210210002
41301233311001200101
54000113111130212
6132035210215345
711552424352544
oct1615765014021
9380224023702
10122135255057
1147885192922
121b806a24555
13b69569a0ba
145ca8b6c85b
15329c683ac2
hex1c6fd41811

122135255057 has 2 divisors, whose sum is σ = 122135255058. Its totient is φ = 122135255056.

The previous prime is 122135255029. The next prime is 122135255059. The reversal of 122135255057 is 750552531221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112611251776 + 9524003281 = 335576^2 + 97591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122135255057 is a prime.

Together with 122135255059, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122135255057.

It is not a weakly prime, because it can be changed into another prime (122135255059) 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, 61067627528 + 61067627529.

It is an arithmetic number, because the mean of its divisors is an integer number (61067627529).

Almost surely, 2122135255057 is an apocalyptic number.

It is an amenable number.

122135255057 is a deficient number, since it is larger than the sum of its proper divisors (1).

122135255057 is an equidigital number, since it uses as much as digits as its factorization.

122135255057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105000, while the sum is 38.

Adding to 122135255057 its reverse (750552531221), we get a palindrome (872687786278).

The spelling of 122135255057 in words is "one hundred twenty-two billion, one hundred thirty-five million, two hundred fifty-five thousand, fifty-seven".