Search a number
-
+
122111112017 is a prime number
BaseRepresentation
bin111000110111001100…
…0111011001101010001
3102200012010121012202102
41301232120323031101
54000040421041032
6132032544530145
711552012216636
oct1615630731521
9380163535672
10122111112017
11478725a28a4
121b7ba920955
13b690695c8b
145ca588618d
15329a4b5362
hex1c6e63b351

122111112017 has 2 divisors, whose sum is σ = 122111112018. Its totient is φ = 122111112016.

The previous prime is 122111111987. The next prime is 122111112107. The reversal of 122111112017 is 710211111221.

It is a happy number.

Together with next prime (122111112107) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115035610561 + 7075501456 = 339169^2 + 84116^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111112017 - 26 = 122111111953 is a prime.

It is a super-2 number, since 2×1221111120172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111112017.

It is not a weakly prime, because it can be changed into another prime (122111112317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055556008 + 61055556009.

It is an arithmetic number, because the mean of its divisors is an integer number (61055556009).

Almost surely, 2122111112017 is an apocalyptic number.

It is an amenable number.

122111112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111112017 is an equidigital number, since it uses as much as digits as its factorization.

122111112017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 122111112017 its reverse (710211111221), we get a palindrome (832322223238).

The spelling of 122111112017 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, seventeen".