Base | Representation |
---|---|
bin | 111110111110010… |
… | …0010000010000000 |
3 | 12110021000112120012 |
4 | 1331330202002000 |
5 | 13311413120112 |
6 | 545401204052 |
7 | 103235242154 |
oct | 17574420200 |
9 | 5407015505 |
10 | 2113020032 |
11 | 994821252 |
12 | 4ab790628 |
13 | 2789c9216 |
14 | 1608b9064 |
15 | c578a022 |
hex | 7df22080 |
2113020032 has 72 divisors (see below), whose sum is σ = 4490505885. Its totient is φ = 990201856.
The previous prime is 2113020023. The next prime is 2113020073. The reversal of 2113020032 is 2300203112.
It is a happy number.
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.
It can be written as a sum of positive squares in 2 ways, for example, as 1933888576 + 179131456 = 43976^2 + 13384^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=32504.
It is a junction number, because it is equal to n+sod(n) for n = 2113019989 and 2113020016.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8840969 + ... + 8841207.
Almost surely, 22113020032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2113020032
2113020032 is an abundant number, since it is smaller than the sum of its proper divisors (2377485853).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2113020032 is an frugal number, since it uses more digits than its factorization.
2113020032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 526 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 2113020032 is about 45967.5976313751. The cubic root of 2113020032 is about 1283.2202510055.
Multiplying 2113020032 by its product of nonzero digits (72), we get a square (152137442304 = 3900482).
Adding to 2113020032 its reverse (2300203112), we get a palindrome (4413223144).
The spelling of 2113020032 in words is "two billion, one hundred thirteen million, twenty thousand, thirty-two".
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