Base | Representation |
---|---|
bin | 10010011100010010… |
… | …10100010011011100 |
3 | 221120000110220112000 |
4 | 21032021110103130 |
5 | 130234123444100 |
6 | 4314244442300 |
7 | 500233052631 |
oct | 111611242334 |
9 | 27500426460 |
10 | 9900999900 |
11 | 4220946850 |
12 | 1b039a9390 |
13 | c1a336b2c |
14 | 69cd52188 |
15 | 3ce354900 |
hex | 24e2544dc |
9900999900 has 144 divisors (see below), whose sum is σ = 34723610880. Its totient is φ = 2400235200.
The previous prime is 9900999893. The next prime is 9900999929. The reversal of 9900999900 is 99990099.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136984 + ... + 196383.
Almost surely, 29900999900 is an apocalyptic number.
9900999900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is an amenable number.
9900999900 is an abundant number, since it is smaller than the sum of its proper divisors (24822610980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9900999900 is a wasteful number, since it uses less digits than its factorization.
9900999900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 333401 (or 333388 counting only the distinct ones).
The product of its (nonzero) digits is 531441, while the sum is 54.
The square root of 9900999900 is about 99503.7682703525. The cubic root of 9900999900 is about 2147.3014566340.
It can be divided in two parts, 990099 and 9900, that added together give a palindrome (999999).
The spelling of 9900999900 in words is "nine billion, nine hundred million, nine hundred ninety-nine thousand, nine hundred".
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