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1110000111001 is a prime number
BaseRepresentation
bin10000001001110001001…
…010011000110110011001
310221010002211001001010021
4100021301022120312121
5121141240012023001
62205532122350441
7143123560161055
oct20116112306631
93833084031107
101110000111001
11398826141441
1215b16095b421
1380898804112
143ba1d658c65
151dd18881ba1
hex10271298d99

1110000111001 has 2 divisors, whose sum is σ = 1110000111002. Its totient is φ = 1110000111000.

The previous prime is 1110000110981. The next prime is 1110000111007. The reversal of 1110000111001 is 1001110000111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1060280030601 + 49720080400 = 1029699^2 + 222980^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110000111001 - 25 = 1110000110969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1110000111007) 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, 555000055500 + 555000055501.

It is an arithmetic number, because the mean of its divisors is an integer number (555000055501).

Almost surely, 21110000111001 is an apocalyptic number.

It is an amenable number.

1110000111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110000111001 is an equidigital number, since it uses as much as digits as its factorization.

1110000111001 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 1110000111001 its reverse (1001110000111), we get a palindrome (2111110111112).

The spelling of 1110000111001 in words is "one trillion, one hundred ten billion, one hundred eleven thousand, one".