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122314312117 is a prime number
BaseRepresentation
bin111000111101010000…
…0000100100110110101
3102200201021221211220001
41301322200010212311
54000444430441432
6132105044111301
711560030333024
oct1617240044665
9380637854801
10122314312117
1147967271068
121b856995531
13b6c3800a1a
145cc485c8bb
1532ad2529e7
hex1c7a8049b5

122314312117 has 2 divisors, whose sum is σ = 122314312118. Its totient is φ = 122314312116.

The previous prime is 122314312091. The next prime is 122314312147. The reversal of 122314312117 is 711213413221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115459962436 + 6854349681 = 339794^2 + 82791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122314312117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122314312147) 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, 61157156058 + 61157156059.

It is an arithmetic number, because the mean of its divisors is an integer number (61157156059).

Almost surely, 2122314312117 is an apocalyptic number.

It is an amenable number.

122314312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122314312117 is an equidigital number, since it uses as much as digits as its factorization.

122314312117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 28.

Adding to 122314312117 its reverse (711213413221), we get a palindrome (833527725338).

The spelling of 122314312117 in words is "one hundred twenty-two billion, three hundred fourteen million, three hundred twelve thousand, one hundred seventeen".