Search a number
-
+
11011110000001 is a prime number
BaseRepresentation
bin1010000000111011100101…
…0011001101010110000001
31102222122121012002011011221
42200032321103031112001
52420401223130000001
635230233433235041
72214345366501016
oct240167123152601
942878535064157
1011011110000001
1135658705993a1
12129a03a562a81
1361b460083a57
142a0d24cbb70d
15141656c261a1
hexa03b94cd581

11011110000001 has 2 divisors, whose sum is σ = 11011110000002. Its totient is φ = 11011110000000.

The previous prime is 11011109999987. The next prime is 11011110000067. The reversal of 11011110000001 is 10000001111011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5842125868401 + 5168984131600 = 2417049^2 + 2273540^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011110000001 - 25 = 11011109999969 is a prime.

It is not a weakly prime, because it can be changed into another prime (11011110000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505555000000 + 5505555000001.

It is an arithmetic number, because the mean of its divisors is an integer number (5505555000001).

Almost surely, 211011110000001 is an apocalyptic number.

It is an amenable number.

11011110000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011110000001 is an equidigital number, since it uses as much as digits as its factorization.

11011110000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11011110000001 its reverse (10000001111011), we get a palindrome (21011111111012).

The spelling of 11011110000001 in words is "eleven trillion, eleven billion, one hundred ten million, one", and thus it is an aban number.