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301111131121 is a prime number
BaseRepresentation
bin1000110000110111001…
…11110011101111110001
31001210012221201100002121
410120123213303233301
514413133422143441
6350154544314241
730516546245563
oct4303347635761
91053187640077
10301111131121
11106778424589
124a435612981
13225190a8c48
141080693b333
157c74ee2dd1
hex461b9f3bf1

301111131121 has 2 divisors, whose sum is σ = 301111131122. Its totient is φ = 301111131120.

The previous prime is 301111131077. The next prime is 301111131151. The reversal of 301111131121 is 121131111103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268697089600 + 32414041521 = 518360^2 + 180039^2 .

It is a cyclic number.

It is not a de Polignac number, because 301111131121 - 211 = 301111129073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 301111131095 and 301111131104.

It is not a weakly prime, because it can be changed into another prime (301111131151) 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, 150555565560 + 150555565561.

It is an arithmetic number, because the mean of its divisors is an integer number (150555565561).

Almost surely, 2301111131121 is an apocalyptic number.

It is an amenable number.

301111131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

301111131121 is an equidigital number, since it uses as much as digits as its factorization.

301111131121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 301111131121 its reverse (121131111103), we get a palindrome (422242242224).

The spelling of 301111131121 in words is "three hundred one billion, one hundred eleven million, one hundred thirty-one thousand, one hundred twenty-one".