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11100001000001 is a prime number
BaseRepresentation
bin1010000110000110101110…
…0111011101101001000001
31110022011001011011211022012
42201201223213131221001
52423330300224000001
635335134200022305
72223643241515304
oct241415347355101
943264034154265
1011100001000001
11359a536208361
1212b3307a61995
136269581c39c4
142a53587b6b3b
15143b0aa402bb
hexa186b9dda41

11100001000001 has 2 divisors, whose sum is σ = 11100001000002. Its totient is φ = 11100001000000.

The previous prime is 11100000999973. The next prime is 11100001000019. The reversal of 11100001000001 is 10000010000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10958244984976 + 141756015025 = 3310324^2 + 376505^2 .

It is an emirp because it is prime and its reverse (10000010000111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11100001000001 is a prime.

It is not a weakly prime, because it can be changed into another prime (11100001000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550000500000 + 5550000500001.

It is an arithmetic number, because the mean of its divisors is an integer number (5550000500001).

Almost surely, 211100001000001 is an apocalyptic number.

It is an amenable number.

11100001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100001000001 is an equidigital number, since it uses as much as digits as its factorization.

11100001000001 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 5.

Adding to 11100001000001 its reverse (10000010000111), we get a palindrome (21100011000112).

The spelling of 11100001000001 in words is "eleven trillion, one hundred billion, one million, one", and thus it is an aban number.