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1111110001 is a prime number
BaseRepresentation
bin100001000111010…
…0011000101110001
32212102202020101021
41002032203011301
54233421010001
6302130535441
736351164521
oct10216430561
92772666337
101111110001
11520213431
12270137581
13149270851
14a77d1681
156782cba1
hex423a3171

1111110001 has 2 divisors, whose sum is σ = 1111110002. Its totient is φ = 1111110000.

The previous prime is 1111109971. The next prime is 1111110017. The reversal of 1111110001 is 1000111111.

Adding to 1111110001 its reverse (1000111111), we get a palindrome (2111221112).

It can be divided in two parts, 11111 and 10001, that multiplied together give a palindrome (111121111).

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., 1061195776 + 49914225 = 32576^2 + 7065^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111110001 - 217 = 1110978929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1111170001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555555000 + 555555001.

It is an arithmetic number, because the mean of its divisors is an integer number (555555001).

Almost surely, 21111110001 is an apocalyptic number.

It is an amenable number.

1111110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111110001 is an equidigital number, since it uses as much as digits as its factorization.

1111110001 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.

The square root of 1111110001 is about 33333.3166816625. The cubic root of 1111110001 is about 1035.7438237138.

The spelling of 1111110001 in words is "one billion, one hundred eleven million, one hundred ten thousand, one".