Base | Representation |
---|---|
bin | 1000000011110111101000 |
3 | 10222100111021 |
4 | 20003313220 |
5 | 1020104000 |
6 | 113142224 |
7 | 23650231 |
oct | 10036750 |
9 | 3870437 |
10 | 2113000 |
11 | 121358a |
12 | 85a974 |
13 | 58c9c6 |
14 | 3d0088 |
15 | 2bb11a |
hex | 203de8 |
2113000 has 32 divisors (see below), whose sum is σ = 4946760. Its totient is φ = 844800.
The previous prime is 2112997. The next prime is 2113003. The reversal of 2113000 is 3112.
It is an interprime number because it is at equal distance from previous prime (2112997) and next prime (2113003).
It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 2033476 = 282^2 + 1426^2 .
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (2113003) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 2056.
22113000 is an apocalyptic number.
2113000 is a gapful number since it is divisible by the number (20) 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 2113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473380).
2113000 is an abundant number, since it is smaller than the sum of its proper divisors (2833760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2113000 is a wasteful number, since it uses less digits than its factorization.
2113000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2134 (or 2120 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 7.
The square root of 2113000 is about 1453.6161804273. The cubic root of 2113000 is about 128.3216195901.
Adding to 2113000 its reverse (3112), we get a palindrome (2116112).
The spelling of 2113000 in words is "two million, one hundred thirteen thousand".
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