Base | Representation |
---|---|
bin | 11101001100100111001… |
… | …00001100101110000000 |
3 | 10112220102221122210002010 |
4 | 32212103210030232000 |
5 | 112414024444320000 |
6 | 2044510512252520 |
7 | 132323210552214 |
oct | 16462344145600 |
9 | 3486387583063 |
10 | 1003203120000 |
11 | 35750200a404 |
12 | 142516841140 |
13 | 737a8a8a513 |
14 | 367aba04944 |
15 | 1b167a7dd50 |
hex | e99390cb80 |
1003203120000 has 320 divisors, whose sum is σ = 3338586622800. Its totient is φ = 266821632000.
The previous prime is 1003203119923. The next prime is 1003203120037. The reversal of 1003203120000 is 213023001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95274736 + ... + 95285264.
Almost surely, 21003203120000 is an apocalyptic number.
1003203120000 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 1003203120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669293311400).
1003203120000 is an abundant number, since it is smaller than the sum of its proper divisors (2335383502800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003203120000 is an equidigital number, since it uses as much as digits as its factorization.
1003203120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10963 (or 10936 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
Adding to 1003203120000 its reverse (213023001), we get a palindrome (1003416143001).
The spelling of 1003203120000 in words is "one trillion, three billion, two hundred three million, one hundred twenty thousand".
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