Search a number
-
+
301111111109 is a prime number
BaseRepresentation
bin1000110000110111001…
…11101110110111000101
31001210012221200022122102
410120123213232313011
514413133421023414
6350154544041445
730516546133334
oct4303347566705
91053187608572
10301111111109
11106778410546
124a435603285
132251909cac3
1410806933d1b
157c74edbede
hex461b9eedc5

301111111109 has 2 divisors, whose sum is σ = 301111111110. Its totient is φ = 301111111108.

The previous prime is 301111111033. The next prime is 301111111121. The reversal of 301111111109 is 901111111103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255047220484 + 46063890625 = 505022^2 + 214625^2 .

It is a cyclic number.

It is not a de Polignac number, because 301111111109 - 212 = 301111107013 is a prime.

It is a super-3 number, since 3×3011111111093 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301111111709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150555555554 + 150555555555.

It is an arithmetic number, because the mean of its divisors is an integer number (150555555555).

Almost surely, 2301111111109 is an apocalyptic number.

It is an amenable number.

301111111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

301111111109 is an equidigital number, since it uses as much as digits as its factorization.

301111111109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 20.

The spelling of 301111111109 in words is "three hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred nine".