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204101024 = 253126637
BaseRepresentation
bin11000010101001…
…01010110100000
3112020001101222012
430022211112200
5404222213044
632130332052
75025554501
oct1412452640
9466041865
10204101024
11a5234136
125842a028
1333391b4a
141d16cba8
1512db959e
hexc2a55a0

204101024 has 36 divisors (see below), whose sum is σ = 415266642. Its totient is φ = 98743680.

The previous prime is 204100987. The next prime is 204101033. The reversal of 204101024 is 420101402.

204101024 is digitally balanced in base 3, 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 only one way, i.e., 203347600 + 753424 = 14260^2 + 868^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27434 + ... + 34070.

Almost surely, 2204101024 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 204101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207633321).

204101024 is an abundant number, since it is smaller than the sum of its proper divisors (211165618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204101024 is an equidigital number, since it uses as much as digits as its factorization.

204101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 204101024 is about 14286.3929667359. The cubic root of 204101024 is about 588.7736896029.

Adding to 204101024 its reverse (420101402), we get a palindrome (624202426).

The spelling of 204101024 in words is "two hundred four million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 6637 7688 13274 15376 26548 30752 53096 106192 205747 212384 411494 822988 1645976 3291952 6378157 6583904 12756314 25512628 51025256 102050512 204101024