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999900000100 = 22529999000001
BaseRepresentation
bin11101000110011101010…
…11110010111101100100
310112120220202020220102001
432203032223302331210
5112340243400000400
62043203035055044
7132145311524101
oct16431653627544
93476822226361
10999900000100
11356067534551
121419545a1484
13733a06550c1
1436577055aa8
151b022ab1a6a
hexe8ceaf2f64

999900000100 has 18 divisors (see below), whose sum is σ = 2169783000434. Its totient is φ = 399960000000.

The previous prime is 999900000091. The next prime is 999900000107. The reversal of 999900000100 is 1000009999.

It can be written as a sum of positive squares in 3 ways, for example, as 166155694884 + 833744305216 = 407622^2 + 913096^2 .

It is not an unprimeable number, because it can be changed into a prime (999900000107) 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 in 5 ways as a sum of consecutive naturals, for example, 4999499901 + ... + 4999500100.

Almost surely, 2999900000100 is an apocalyptic number.

It is an amenable number.

999900000100 is an abundant number, since it is smaller than the sum of its proper divisors (1169883000334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

999900000100 is a wasteful number, since it uses less digits than its factorization.

999900000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999000015 (or 9999000008 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 37.

The spelling of 999900000100 in words is "nine hundred ninety-nine billion, nine hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 9999000001 19998000002 39996000004 49995000005 99990000010 199980000020 249975000025 499950000050 999900000100