Search a number
-
+
27311117 is a prime number
BaseRepresentation
bin110100000101…
…1110000001101
31220101112210212
41220023300031
523442423432
62413212205
7451066151
oct150136015
956345725
1027311117
1114464279
129191065
135873132
1438ad061
1525e72b2
hex1a0bc0d

27311117 has 2 divisors, whose sum is σ = 27311118. Its totient is φ = 27311116.

The previous prime is 27311101. The next prime is 27311131. The reversal of 27311117 is 71111372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19616041 + 7695076 = 4429^2 + 2774^2 .

It is a cyclic number.

It is not a de Polignac number, because 27311117 - 24 = 27311101 is a prime.

It is a super-2 number, since 2×273111172 = 1491794223575378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27311092 and 27311101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27311147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13655558 + 13655559.

It is an arithmetic number, because the mean of its divisors is an integer number (13655559).

Almost surely, 227311117 is an apocalyptic number.

It is an amenable number.

27311117 is a deficient number, since it is larger than the sum of its proper divisors (1).

27311117 is an equidigital number, since it uses as much as digits as its factorization.

27311117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294, while the sum is 23.

The square root of 27311117 is about 5226.0039226927. The cubic root of 27311117 is about 301.1478874314.

Adding to 27311117 its reverse (71111372), we get a palindrome (98422489).

The spelling of 27311117 in words is "twenty-seven million, three hundred eleven thousand, one hundred seventeen".