Base | Representation |
---|---|
bin | 11101000110101001011… |
… | …01000100111001011000 |
3 | 10112121011210022011212001 |
4 | 32203110231010321120 |
5 | 112341000223432000 |
6 | 2043221043530344 |
7 | 132150646146403 |
oct | 16432455047130 |
9 | 3477153264761 |
10 | 1000000999000 |
11 | 356109548513 |
12 | 1419823899b4 |
13 | 733b8558473 |
14 | 36586626d3a |
15 | 1b02b8b246a |
hex | e8d4b44e58 |
1000000999000 has 256 divisors, whose sum is σ = 2437204723200. Its totient is φ = 383768064000.
The previous prime is 1000000998979. The next prime is 1000000999007. The reversal of 1000000999000 is 9990000001.
1000000999000 is a modest number, since divided by 999000 gives 1000 as remainder.
It is a self number, because there is not a number n which added to its sum of digits gives 1000000999000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000000999007) 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 63 ways as a sum of consecutive naturals, for example, 1631322694 + ... + 1631323306.
It is an arithmetic number, because the mean of its divisors is an integer number (9520330950).
Almost surely, 21000000999000 is an apocalyptic number.
1000000999000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1000000999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218602361600).
1000000999000 is an abundant number, since it is smaller than the sum of its proper divisors (1437203724200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000000999000 is a wasteful number, since it uses less digits than its factorization.
1000000999000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1311 (or 1297 counting only the distinct ones).
The product of its (nonzero) digits is 729, while the sum is 28.
Adding to 1000000999000 its reverse (9990000001), we get a palindrome (1009990999001).
It can be divided in two parts, 1000000 and 999000, that added together give a triangular number (1999000 = T1999).
The spelling of 1000000999000 in words is "one trillion, nine hundred ninety-nine thousand".
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