Search a number
-
+
122312144117 is a prime number
BaseRepresentation
bin111000111101001011…
…1110011010011110101
3102200201010212200221202
41301322113303103311
54000443402102432
6132104525422245
711560003033232
oct1617227632365
9380633780852
10122312144117
1147966020229
121b85610a985
13b6c3221c97
145cc4456789
1532ace75462
hex1c7a5f34f5

122312144117 has 2 divisors, whose sum is σ = 122312144118. Its totient is φ = 122312144116.

The previous prime is 122312144113. The next prime is 122312144159. The reversal of 122312144117 is 711441213221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111668920561 + 10643223556 = 334169^2 + 103166^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312144117 - 22 = 122312144113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122312144117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122312144113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156072058 + 61156072059.

It is an arithmetic number, because the mean of its divisors is an integer number (61156072059).

Almost surely, 2122312144117 is an apocalyptic number.

It is an amenable number.

122312144117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312144117 is an equidigital number, since it uses as much as digits as its factorization.

122312144117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 29.

Adding to 122312144117 its reverse (711441213221), we get a palindrome (833753357338).

The spelling of 122312144117 in words is "one hundred twenty-two billion, three hundred twelve million, one hundred forty-four thousand, one hundred seventeen".