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999009900999 = 321110091009101
BaseRepresentation
bin11101000100110011010…
…00010101100111000111
310112111121201101011222200
432202121220111213013
5112331433013312444
62042534441125543
7132114253023015
oct16423150254707
93474551334880
10999009900999
11355750054960
121417464898b3
137328b117146
14364d0b558b5
151aebe88d969
hexe899a159c7

999009900999 has 12 divisors (see below), whose sum is σ = 1574197419912. Its totient is φ = 605460546000.

The previous prime is 999009900953. The next prime is 999009901003.

999009900999 is nontrivially palindromic in base 10.

999009900999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 999009900999 - 212 = 999009896903 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999009900919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5045504452 + ... + 5045504649.

It is an arithmetic number, because the mean of its divisors is an integer number (131183118326).

Almost surely, 2999009900999 is an apocalyptic number.

999009900999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

999009900999 is a deficient number, since it is larger than the sum of its proper divisors (575187518913).

999009900999 is a wasteful number, since it uses less digits than its factorization.

999009900999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091009118 (or 10091009115 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 999009900999 in words is "nine hundred ninety-nine billion, nine million, nine hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 99 10091009101 30273027303 90819081909 111001100111 333003300333 999009900999