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10001111100011 is a prime number
BaseRepresentation
bin1001000110001001000010…
…1011001010101001101011
31022102002121121221222111122
42101202100223022221223
52302324233420200021
633134240315445455
72051361566501033
oct221422053125153
938362547858448
1010001111100011
1132064a153a999
121156347a5688b
135771403c4655
142680b091a8c3
1512524276cbab
hex91890acaa6b

10001111100011 has 2 divisors, whose sum is σ = 10001111100012. Its totient is φ = 10001111100010.

The previous prime is 10001111099983. The next prime is 10001111100047. The reversal of 10001111100011 is 11000111110001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001111100011 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001111100811) 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, 5000555550005 + 5000555550006.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555550006).

Almost surely, 210001111100011 is an apocalyptic number.

10001111100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111100011 is an equidigital number, since it uses as much as digits as its factorization.

10001111100011 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 8.

Adding to 10001111100011 its reverse (11000111110001), we get a palindrome (21001222210012).

The spelling of 10001111100011 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, eleven".