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1007000011 is a prime number
BaseRepresentation
bin111100000001011…
…001100111001011
32121011211220022201
4330001121213023
54030243000021
6243531301031
733645234043
oct7401314713
92534756281
101007000011
11477475016
122412aa777
1313081b3c4
1497a50723
155d615591
hex3c0599cb

1007000011 has 2 divisors, whose sum is σ = 1007000012. Its totient is φ = 1007000010.

The previous prime is 1007000009. The next prime is 1007000077. The reversal of 1007000011 is 1100007001.

1007000011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (1100007001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1007000011 - 21 = 1007000009 is a prime.

Together with 1007000009, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1007000411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503500005 + 503500006.

It is an arithmetic number, because the mean of its divisors is an integer number (503500006).

Almost surely, 21007000011 is an apocalyptic number.

1007000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007000011 is an equidigital number, since it uses as much as digits as its factorization.

1007000011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 1007000011 is about 31733.2634785646. The cubic root of 1007000011 is about 1002.3279136131.

Adding to 1007000011 its reverse (1100007001), we get a palindrome (2107007012).

The spelling of 1007000011 in words is "one billion, seven million, eleven", and thus it is an aban number and an uban number.