| Base | Representation |
|---|---|
| bin | 1011110100111111011001… |
| … | …1001111100001000000000 |
| 3 | 1201001021011210212211211200 |
| 4 | 2331033312121330020000 |
| 5 | 3201033220000000000 |
| 6 | 43354225311541200 |
| 7 | 2511403011036021 |
| oct | 275176631741000 |
| 9 | 51037153784750 |
| 10 | 13005000000000 |
| 11 | 41644315077a8 |
| 12 | 156055822a800 |
| 13 | 73449b816cb8 |
| 14 | 32d6340c6c48 |
| 15 | 1784535dd500 |
| hex | bd3f667c200 |
13005000000000 has 990 divisors, whose sum is σ = 49838780717583. Its totient is φ = 3264000000000.
The previous prime is 13004999999947. The next prime is 13005000000011. The reversal of 13005000000000 is 50031.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
13005000000000 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 17 ways, for example, as 1712496773376 + 11292503226624 = 1308624^2 + 3360432^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2550000.
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 an unprimeable number.
It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 764999999992 + ... + 765000000008.
Almost surely, 213005000000000 is an apocalyptic number.
13005000000000 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 13005000000000
13005000000000 is an abundant number, since it is smaller than the sum of its proper divisors (36833780717583).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13005000000000 is an frugal number, since it uses more digits than its factorization.
13005000000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 108 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 15, while the sum is 9.
Adding to 13005000000000 its reverse (50031), we get a palindrome (13005000050031).
The spelling of 13005000000000 in words is "thirteen trillion, five billion", and thus it is an aban number and an uban number.
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