Search a number
-
+
11111100101009 is a prime number
BaseRepresentation
bin1010000110110000000100…
…1011001011000110010001
31110100012200200002120120022
42201230001023023012101
52424021013111213014
635344211404153225
72224515263360336
oct241540113130621
943305620076508
1011111100101009
1135a4211383207
1212b54a4b38815
13627a068088ac
142a5acc8c298d
1514405a157a8e
hexa1b012cb191

11111100101009 has 2 divisors, whose sum is σ = 11111100101010. Its totient is φ = 11111100101008.

The previous prime is 11111100100987. The next prime is 11111100101029. The reversal of 11111100101009 is 90010100111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8189212422400 + 2921887678609 = 2861680^2 + 1709353^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11111100101009 is a prime.

It is not a weakly prime, because it can be changed into another prime (11111100101029) 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, 5555550050504 + 5555550050505.

It is an arithmetic number, because the mean of its divisors is an integer number (5555550050505).

Almost surely, 211111100101009 is an apocalyptic number.

It is an amenable number.

11111100101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111100101009 is an equidigital number, since it uses as much as digits as its factorization.

11111100101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 11111100101009 in words is "eleven trillion, one hundred eleven billion, one hundred million, one hundred one thousand, nine".