Search a number
-
+
200213420323020 = 223513416260582249
BaseRepresentation
bin101101100001011111010001…
…110011000011000011001100
3222020220012211111121210022120
4231201133101303003003030
5202220244041100314040
61545452435303412540
760112641125163636
oct5541372163030314
9866805744553276
10200213420323020
11588810422458a5
121a556851454150
138794076a887a0
14376254a205a56
1518230257e07d0
hexb617d1cc30cc

200213420323020 has 96 divisors (see below), whose sum is σ = 618445356984000. Its totient is φ = 48081271664640.

The previous prime is 200213420323019. The next prime is 200213420323027. The reversal of 200213420323020 is 20323024312002.

It is a super-3 number, since 3×2002134203230203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (200213420323027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130259145 + ... + 3130323104.

It is an arithmetic number, because the mean of its divisors is an integer number (6442139135250).

Almost surely, 2200213420323020 is an apocalyptic number.

200213420323020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200213420323020 is an abundant number, since it is smaller than the sum of its proper divisors (418231936660980).

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

200213420323020 is a wasteful number, since it uses less digits than its factorization.

200213420323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260582315 (or 6260582313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200213420323020 its reverse (20323024312002), we get a palindrome (220536444635022).

The spelling of 200213420323020 in words is "two hundred trillion, two hundred thirteen billion, four hundred twenty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 15990 31980 6260582249 12521164498 18781746747 25042328996 31302911245 37563493494 62605822490 75126986988 81387569237 93908733735 125211644980 162775138474 187817467470 244162707711 256683872209 325550276948 375634934940 406937846185 488325415422 513367744418 770051616627 813875692370 976650830844 1026735488836 1220813538555 1283419361045 1540103233254 1627751384740 2441627077110 2566838722090 3080206466508 3336890338717 3850258083135 4883254154220 5133677444180 6673780677434 7700516166270 10010671016151 13347561354868 15401032332540 16684451693585 20021342032302 33368903387170 40042684064604 50053355080755 66737806774340 100106710161510 200213420323020