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1001111001001 is a prime number
BaseRepresentation
bin11101001000101101101…
…11011001011110101001
310112201001010222010100021
432210112313121132221
5112400233404013001
62043523135040441
7132220315051006
oct16442667313651
93481033863307
101001111001001
11356629074441
12142032070121
13735344cb897
143664dc0a8ad
151b094071ba1
hexe916dd97a9

1001111001001 has 2 divisors, whose sum is σ = 1001111001002. Its totient is φ = 1001111001000.

The previous prime is 1001111000999. The next prime is 1001111001047. The reversal of 1001111001001 is 1001001111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 938333192976 + 62777808025 = 968676^2 + 250555^2 .

It is an emirp because it is prime and its reverse (1001001111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001111001001 - 21 = 1001111000999 is a prime.

Together with 1001111000999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1001111031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555500500 + 500555500501.

It is an arithmetic number, because the mean of its divisors is an integer number (500555500501).

Almost surely, 21001111001001 is an apocalyptic number.

It is an amenable number.

1001111001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111001001 is an equidigital number, since it uses as much as digits as its factorization.

1001111001001 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 1001111001001 its reverse (1001001111001), we get a palindrome (2002112112002).

The spelling of 1001111001001 in words is "one trillion, one billion, one hundred eleven million, one thousand, one".