| Base | Representation |
|---|---|
| bin | 110001101000… |
| … | …100000111000 |
| 3 | 220111000201220 |
| 4 | 301220200320 |
| 5 | 11312323000 |
| 6 | 1142512040 |
| 7 | 215406642 |
| oct | 61504070 |
| 9 | 26430656 |
| 10 | 13011000 |
| 11 | 73873a2 |
| 12 | 4435620 |
| 13 | 2907222 |
| 14 | 1a29892 |
| 15 | 12201a0 |
| hex | c68838 |
13011000 has 64 divisors (see below), whose sum is σ = 40603680. Its totient is φ = 3468800.
The previous prime is 13010993. The next prime is 13011007. The reversal of 13011000 is 11031.
It is an interprime number because it is at equal distance from previous prime (13010993) and next prime (13011007).
It is a super-2 number, since 2×130110002 = 338572242000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 13011000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13011007) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832 + ... + 5168.
Almost surely, 213011000 is an apocalyptic number.
13011000 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 13011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301840).
13011000 is an abundant number, since it is smaller than the sum of its proper divisors (27592680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13011000 is a wasteful number, since it uses less digits than its factorization.
13011000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4361 (or 4347 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 6.
The square root of 13011000 is about 3607.0763784539. The cubic root of 13011000 is about 235.1997697716.
Adding to 13011000 its reverse (11031), we get a palindrome (13022031).
The spelling of 13011000 in words is "thirteen million, eleven thousand".
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