| Base | Representation |
|---|---|
| bin | 11101001100011011001… |
| … | …10010011110011010000 |
| 3 | 10112220011222021122222100 |
| 4 | 32212031212103303100 |
| 5 | 112413323332310000 |
| 6 | 2044452534440400 |
| 7 | 132320553621300 |
| oct | 16461546236320 |
| 9 | 3486158248870 |
| 10 | 1003103010000 |
| 11 | 357460553273 |
| 12 | 1424a9203100 |
| 13 | 73791108930 |
| 14 | 3679c5c5600 |
| 15 | 1b15dda6a00 |
| hex | e98d993cd0 |
1003103010000 has 900 divisors, whose sum is σ = 4394883665172. Its totient is φ = 211631616000.
The previous prime is 1003103009969. The next prime is 1003103010023. The reversal of 1003103010000 is 103013001.
1003103010000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 999536053824 + 3566956176 = 999768^2 + 59724^2 .
It is a tau number, because it is divible by the number of its divisors (900).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 57321252 + ... + 57338748.
Almost surely, 21003103010000 is an apocalyptic number.
1003103010000 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 1003103010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197441832586).
1003103010000 is an abundant number, since it is smaller than the sum of its proper divisors (3391780655172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003103010000 is a wasteful number, since it uses less digits than its factorization.
1003103010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17558 (or 17527 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
Adding to 1003103010000 its reverse (103013001), we get a palindrome (1003206023001).
The spelling of 1003103010000 in words is "one trillion, three billion, one hundred three million, ten thousand".
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