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122114013361 is a prime number
BaseRepresentation
bin111000110111010001…
…1111111100010110001
3102200012100001121122121
41301232203333202301
54000042141411421
6132033131034241
711552045662444
oct1615643774261
9380170047577
10122114013361
11478741a46aa
121b7bb89b981
13b691170752
145ca5ddd65b
15329a889d41
hex1c6e8ff8b1

122114013361 has 2 divisors, whose sum is σ = 122114013362. Its totient is φ = 122114013360.

The previous prime is 122114013253. The next prime is 122114013389. The reversal of 122114013361 is 163310411221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121062243600 + 1051769761 = 347940^2 + 32431^2 .

It is a cyclic number.

It is not a de Polignac number, because 122114013361 - 219 = 122113489073 is a prime.

It is not a weakly prime, because it can be changed into another prime (122114113361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61057006680 + 61057006681.

It is an arithmetic number, because the mean of its divisors is an integer number (61057006681).

Almost surely, 2122114013361 is an apocalyptic number.

It is an amenable number.

122114013361 is a deficient number, since it is larger than the sum of its proper divisors (1).

122114013361 is an equidigital number, since it uses as much as digits as its factorization.

122114013361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 122114013361 its reverse (163310411221), we get a palindrome (285424424582).

The spelling of 122114013361 in words is "one hundred twenty-two billion, one hundred fourteen million, thirteen thousand, three hundred sixty-one".