Search a number
-
+
18311111001101 is a prime number
BaseRepresentation
bin1000010100111011000110…
…10001000100010000001101
32101211112011210212000120002
410022131203101010100031
54400002123404013401
6102540001441334045
73566635254263342
oct412354321042015
971745153760502
1018311111001101
11591a775877096
122078996037325
13a2a96579b839
144743964367c9
1521b4a9c30a6b
hex10a76344440d

18311111001101 has 2 divisors, whose sum is σ = 18311111001102. Its totient is φ = 18311111001100.

The previous prime is 18311111001011. The next prime is 18311111001103. The reversal of 18311111001101 is 10110011111381.

It is a happy number.

Together with previous prime (18311111001011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13872719652100 + 4438391349001 = 3724610^2 + 2106749^2 .

It is an emirp because it is prime and its reverse (10110011111381) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18311111001101 - 218 = 18311110738957 is a prime.

Together with 18311111001103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18311111001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9155555500550 + 9155555500551.

It is an arithmetic number, because the mean of its divisors is an integer number (9155555500551).

Almost surely, 218311111001101 is an apocalyptic number.

It is an amenable number.

18311111001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

18311111001101 is an equidigital number, since it uses as much as digits as its factorization.

18311111001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 20.

Adding to 18311111001101 its reverse (10110011111381), we get a palindrome (28421122112482).

The spelling of 18311111001101 in words is "eighteen trillion, three hundred eleven billion, one hundred eleven million, one thousand, one hundred one".