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200112010212200 = 235219486110833379
BaseRepresentation
bin101101100000000000110101…
…010010001011001101101000
3222020112112002001121101200012
4231200000311102023031220
5202212113344103242300
61545334104405031052
760102421106362112
oct5540006522131550
9866475061541605
10200112010212200
1158842032945659
121a53b06b3b5488
13878763509a458
14375b689ba03b2
15182058c8b5435
hexb6003548b368

200112010212200 has 96 divisors (see below), whose sum is σ = 489848610108000. Its totient is φ = 75816312595200.

The previous prime is 200112010212161. The next prime is 200112010212209. The reversal of 200112010212200 is 2212010211002.

200112010212200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200112010212209) 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 23 ways as a sum of consecutive naturals, for example, 13055111 + ... + 23888489.

It is an arithmetic number, because the mean of its divisors is an integer number (5102589688625).

Almost surely, 2200112010212200 is an apocalyptic number.

200112010212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112010212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244924305054000).

200112010212200 is an abundant number, since it is smaller than the sum of its proper divisors (289736599895800).

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

200112010212200 is a wasteful number, since it uses less digits than its factorization.

200112010212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10838275 (or 10838266 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200112010212200 its reverse (2212010211002), we get a palindrome (202324020423202).

The spelling of 200112010212200 in words is "two hundred trillion, one hundred twelve billion, ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 4861 9722 19444 24305 38888 48610 92359 97220 121525 184718 194440 243050 369436 461795 486100 738872 923590 972200 1847180 2308975 3694360 4617950 9235900 10833379 18471800 21666758 43333516 54166895 86667032 108333790 205834201 216667580 270834475 411668402 433335160 541668950 823336804 1029171005 1083337900 1646673608 2058342010 2166675800 4116684020 5145855025 8233368040 10291710050 20583420100 41166840200 52661055319 105322110638 210644221276 263305276595 421288442552 526610553190 1000560051061 1053221106380 1316526382975 2001120102122 2106442212760 2633052765950 4002240204244 5002800255305 5266105531900 8004480408488 10005600510610 10532211063800 20011201021220 25014001276525 40022402042440 50028002553050 100056005106100 200112010212200