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1010001000999 = 319611450320029
BaseRepresentation
bin11101011001010001100…
…00000011101000100111
310120112222201001220201110
432230220300003220213
5113021440224012444
62051553230400103
7132653523600234
oct16545060035047
93515881056643
101010001000999
1135a380263a81
121438b3360033
1374320246803
1436c5478a78b
151b414770cb9
hexeb28c03a27

1010001000999 has 32 divisors (see below), whose sum is σ = 1440954995200. Its totient is φ = 627363480960.

The previous prime is 1010001000971. The next prime is 1010001001007. The reversal of 1010001000999 is 9990001000101.

It is not a de Polignac number, because 1010001000999 - 27 = 1010001000871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001000959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50416917 + ... + 50436945.

It is an arithmetic number, because the mean of its divisors is an integer number (45029843600).

Almost surely, 21010001000999 is an apocalyptic number.

1010001000999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1010001000999 is a deficient number, since it is larger than the sum of its proper divisors (430953994201).

1010001000999 is a wasteful number, since it uses less digits than its factorization.

1010001000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34615.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 1010001000999 in words is "one trillion, ten billion, one million, nine hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 19 57 61 183 1159 3477 14503 20029 43509 60087 275557 380551 826671 884683 1141653 1221769 2654049 3665307 16808977 23213611 50426931 69640833 290480587 871441761 5519131153 16557393459 17719315807 53157947421 336667000333 1010001000999