Search a number
-
+
110000011007 is a prime number
BaseRepresentation
bin110011001110010000…
…0101111011011111111
3101111221002102112110202
41212130200233123333
53300240000323012
6122311105554115
710642621444355
oct1463440573377
9344832375422
10110000011007
1142718158407
121939a94593b
13a4b0501c13
1454771c77d5
152cdc0eacc2
hex199c82f6ff

110000011007 has 2 divisors, whose sum is σ = 110000011008. Its totient is φ = 110000011006.

The previous prime is 110000010961. The next prime is 110000011039. The reversal of 110000011007 is 700110000011.

It is a strong prime.

It is an emirp because it is prime and its reverse (700110000011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110000011007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000011057) 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, 55000005503 + 55000005504.

It is an arithmetic number, because the mean of its divisors is an integer number (55000005504).

Almost surely, 2110000011007 is an apocalyptic number.

110000011007 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000011007 is an equidigital number, since it uses as much as digits as its factorization.

110000011007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 110000011007 its reverse (700110000011), we get a palindrome (810110011018).

The spelling of 110000011007 in words is "one hundred ten billion, eleven thousand, seven".