Base | Representation |
---|---|
bin | 1001000000010000101101… |
… | …1001101011111010000011 |
3 | 1022001102212100122010002000 |
4 | 2100010023121223322003 |
5 | 2244200341232300344 |
6 | 33020012230155043 |
7 | 2041154324120541 |
oct | 220041331537203 |
9 | 38042770563060 |
10 | 9900090900099 |
11 | 3177672244574 |
12 | 113a8544b2a83 |
13 | 56a76142462a |
14 | 26324a1b0d91 |
15 | 1227cdbb1a69 |
hex | 9010b66be83 |
9900090900099 has 256 divisors, whose sum is σ = 16272274636800. Its totient is φ = 5933335339008.
The previous prime is 9900090900053. The next prime is 9900090900103.
9900090900099 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 9900090900099 - 27 = 9900090899971 is a prime.
It is not an unprimeable number, because it can be changed into a prime (9900090900019) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13617731274 + ... + 13617732000.
It is an arithmetic number, because the mean of its divisors is an integer number (63563572800).
Almost surely, 29900090900099 is an apocalyptic number.
9900090900099 is a deficient number, since it is larger than the sum of its proper divisors (6372183736701).
9900090900099 is a wasteful number, since it uses less digits than its factorization.
9900090900099 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1059 (or 1053 counting only the distinct ones).
The product of its (nonzero) digits is 531441, while the sum is 54.
The spelling of 9900090900099 in words is "nine trillion, nine hundred billion, ninety million, nine hundred thousand, ninety-nine".
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