Search a number
-
+
204102135216 = 24327593431903
BaseRepresentation
bin1011111000010101101…
…1110110110110110000
3201111211020011202010100
42332011123312312300
511321000121311331
6233432505032400
720513561344620
oct2760533666660
9644736152110
10204102135216
11796173750a1
1233681485700
1316329151215
149c42c20880
155498671ae6
hex2f856f6db0

204102135216 has 120 divisors (see below), whose sum is σ = 663867509760. Its totient is φ = 57326491008.

The previous prime is 204102135197. The next prime is 204102135239. The reversal of 204102135216 is 612531201402.

204102135216 is a `hidden beast` number, since 2 + 0 + 410 + 2 + 1 + 35 + 216 = 666.

204102135216 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204102135216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656480 + ... + 1775423.

It is an arithmetic number, because the mean of its divisors is an integer number (5532229248).

Almost surely, 2204102135216 is an apocalyptic number.

It is an amenable number.

204102135216 is an abundant number, since it is smaller than the sum of its proper divisors (459765374544).

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

204102135216 is a wasteful number, since it uses less digits than its factorization.

204102135216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431983 (or 3431974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 204102135216 its reverse (612531201402), we get a palindrome (816633336618).

The spelling of 204102135216 in words is "two hundred four billion, one hundred two million, one hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7434 8496 9912 14868 19824 29736 59472 3431903 6863806 10295709 13727612 20591418 24023321 27455224 30887127 41182836 48046642 54910448 61774254 72069963 82365672 96093284 123548508 144139926 164731344 192186568 202482277 216209889 247097016 288279852 384373136 404964554 432419778 494194032 576559704 607446831 809929108 864839556 1153119408 1214893662 1417375939 1619858216 1729679112 1822340493 2429787324 2834751878 3239716432 3459358224 3644680986 4252127817 4859574648 5669503756 7289361972 8504255634 9719149296 11339007512 12756383451 14578723944 17008511268 22678015024 25512766902 29157447888 34017022536 51025533804 68034045072 102051067608 204102135216