| Base | Representation |
|---|---|
| bin | 11101001100011110111… |
| … | …01000001011101010000 |
| 3 | 10112220021010211201120221 |
| 4 | 32212033131001131100 |
| 5 | 112413404314130000 |
| 6 | 2044500005442424 |
| 7 | 132321412263202 |
| oct | 16461735013520 |
| 9 | 3486233751527 |
| 10 | 1003134130000 |
| 11 | 357477079182 |
| 12 | 1424b7710414 |
| 13 | 737976b3632 |
| 14 | 367a27a6772 |
| 15 | 1b1619a261a |
| hex | e98f741750 |
1003134130000 has 200 divisors, whose sum is σ = 2600485109640. Its totient is φ = 373401600000.
The previous prime is 1003134129979. The next prime is 1003134130003. The reversal of 1003134130000 is 314313001.
1003134130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 20 ways, for example, as 985318287424 + 17815842576 = 992632^2 + 133476^2 .
It is a tau number, because it is divible by the number of its divisors (200).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1003134130003) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15096850 + ... + 15163150.
Almost surely, 21003134130000 is an apocalyptic number.
1003134130000 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 1003134130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300242554820).
1003134130000 is an abundant number, since it is smaller than the sum of its proper divisors (1597350979640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003134130000 is an equidigital number, since it uses as much as digits as its factorization.
1003134130000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66435 (or 66414 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 1003134130000 its reverse (314313001), we get a palindrome (1003448443001).
The spelling of 1003134130000 in words is "one trillion, three billion, one hundred thirty-four million, one hundred thirty thousand".
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