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122111344133 is a prime number
BaseRepresentation
bin111000110111001100…
…1110011111000000101
3102200012011001000011022
41301232121303320011
54000041001003013
6132032553520525
711552014204442
oct1615631637005
9380164030138
10122111344133
1147872741229
121b7baa13145
13b69074781c
145ca59069c9
15329a50e008
hex1c6e673e05

122111344133 has 2 divisors, whose sum is σ = 122111344134. Its totient is φ = 122111344132.

The previous prime is 122111344111. The next prime is 122111344139. The reversal of 122111344133 is 331443111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102055969444 + 20055374689 = 319462^2 + 141617^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111344133 - 28 = 122111343877 is a prime.

It is a super-2 number, since 2×1221113441332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111344139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055672066 + 61055672067.

It is an arithmetic number, because the mean of its divisors is an integer number (61055672067).

Almost surely, 2122111344133 is an apocalyptic number.

It is an amenable number.

122111344133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111344133 is an equidigital number, since it uses as much as digits as its factorization.

122111344133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 26.

Adding to 122111344133 its reverse (331443111221), we get a palindrome (453554455354).

The spelling of 122111344133 in words is "one hundred twenty-two billion, one hundred eleven million, three hundred forty-four thousand, one hundred thirty-three".