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204304210112 = 2623257613881
BaseRepresentation
bin1011111001000101111…
…0101101100011000000
3201112100022102012202202
42332101132231203000
511321403334210422
6233504524132332
720521564063352
oct2762136554300
9645308365682
10204304210112
1179710444a42
12337190970a8
131635bc83a72
149c619c30d2
1554ab28ab92
hex2f917ad8c0

204304210112 has 112 divisors (see below), whose sum is σ = 425864682432. Its totient is φ = 97061437440.

The previous prime is 204304210091. The next prime is 204304210217. The reversal of 204304210112 is 211012403402.

204304210112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231899912 + ... + 231900792.

It is an arithmetic number, because the mean of its divisors is an integer number (3802363236).

Almost surely, 2204304210112 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 204304210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212932341216).

204304210112 is an abundant number, since it is smaller than the sum of its proper divisors (221560472320).

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

204304210112 is a wasteful number, since it uses less digits than its factorization.

204304210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 204304210112 its reverse (211012403402), we get a palindrome (415316613514).

The spelling of 204304210112 in words is "two hundred four billion, three hundred four million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 257 368 514 613 736 881 1028 1226 1472 1762 2056 2452 3524 4112 4904 5911 7048 8224 9808 11822 14096 14099 16448 19616 20263 23644 28192 28198 39232 40526 47288 56384 56396 81052 94576 112792 157541 162104 189152 225584 226417 315082 324208 378304 451168 452834 540053 630164 648416 902336 905668 1080106 1260328 1296832 1811336 2160212 2520656 3622672 3623443 4320424 5041312 5207591 7245344 7246886 8640848 10082624 10415182 12421219 14490688 14493772 17281696 20830364 24842438 28987544 34563392 41660728 49684876 57975088 83321456 99369752 115950176 138793621 166642912 198739504 231900352 277587242 333285824 397479008 555174484 794958016 1110348968 2220697936 3192253283 4441395872 6384506566 8882791744 12769013132 25538026264 51076052528 102152105056 204304210112