Base | Representation |
---|---|
bin | 1011101110011001001… |
… | …0110111010010001000 |
3 | 201020221011020000000000 |
4 | 2323212102313102020 |
5 | 11300013120402303 |
6 | 232311531043000 |
7 | 20360451311112 |
oct | 2734622672210 |
9 | 636834200000 |
10 | 201432200328 |
11 | 78477253537 |
12 | 330572a0460 |
13 | 15cc1c632a8 |
14 | 9a6c3b63b2 |
15 | 538e079da3 |
hex | 2ee64b7488 |
201432200328 has 132 divisors (see below), whose sum is σ = 567393766485. Its totient is φ = 67041242784.
The previous prime is 201432200327. The next prime is 201432200341. The reversal of 201432200328 is 823002234102.
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.
201432200328 is a `hidden beast` number, since 2 + 0 + 1 + 432 + 200 + 3 + 28 = 666.
201432200328 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 2 ways, for example, as 185831690724 + 15600509604 = 431082^2 + 124902^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=317358.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (201432200323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 308471650 + ... + 308472302.
Almost surely, 2201432200328 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 201432200328
201432200328 is an abundant number, since it is smaller than the sum of its proper divisors (365961566157).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201432200328 is an frugal number, since it uses more digits than its factorization.
201432200328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1342 (or 658 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Multiplying 201432200328 by its product of nonzero digits (4608), we get a square (928199579111424 = 304663682).
The spelling of 201432200328 in words is "two hundred one billion, four hundred thirty-two million, two hundred thousand, three hundred twenty-eight".
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