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1001011111009 = 71343255816793
BaseRepresentation
bin11101001000100001110…
…10010110010001100001
310112200210012000012000221
432210100322112101201
5112400032321023014
62043505210043041
7132214663024360
oct16442072262141
93480705005027
101001011111009
11356587748628
12142004719481
13735198c6190
14366408477d7
151b08a3deb24
hexe910e96461

1001011111009 has 16 divisors (see below), whose sum is σ = 1260665160832. Its totient is φ = 773589979008.

The previous prime is 1001011110977. The next prime is 1001011111033. The reversal of 1001011111009 is 9001111101001.

It is not a de Polignac number, because 1001011111009 - 25 = 1001011110977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001011110983 and 1001011111001.

It is not an unprimeable number, because it can be changed into a prime (1001011111069) 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 in 15 ways as a sum of consecutive naturals, for example, 127904484 + ... + 127912309.

It is an arithmetic number, because the mean of its divisors is an integer number (78791572552).

Almost surely, 21001011111009 is an apocalyptic number.

It is an amenable number.

1001011111009 is a deficient number, since it is larger than the sum of its proper divisors (259654049823).

1001011111009 is a wasteful number, since it uses less digits than its factorization.

1001011111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255816856.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 1001011111009 in words is "one trillion, one billion, eleven million, one hundred eleven thousand, nine".

Divisors: 1 7 13 43 91 301 559 3913 255816793 1790717551 3325618309 11000122099 23279328163 77000854693 143001587287 1001011111009