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200344004021100 = 223527931372694719
BaseRepresentation
bin101101100011011000111001…
…001100010100101101101100
3222021100200220002212222011210
4231203120321030110231230
5202224414010012133400
61550032433113314420
760125243120252652
oct5543307114245554
9867320802788153
10200344004021100
1158921462348a35
121a578015705a10
1387a348786baa4
1437689b7012dd2
151826619a01950
hexb63639314b6c

200344004021100 has 144 divisors (see below), whose sum is σ = 587186817638400. Its totient is φ = 52731966443520.

The previous prime is 200344004021099. The next prime is 200344004021101. The reversal of 200344004021100 is 1120400443002.

200344004021100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200344004021099) and next prime (200344004021101).

It is not an unprimeable number, because it can be changed into a prime (200344004021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72999541 + ... + 75694259.

It is an arithmetic number, because the mean of its divisors is an integer number (4077686233600).

Almost surely, 2200344004021100 is an apocalyptic number.

200344004021100 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 200344004021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293593408819200).

200344004021100 is an abundant number, since it is smaller than the sum of its proper divisors (386842813617300).

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

200344004021100 is a wasteful number, since it uses less digits than its factorization.

200344004021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697952 (or 2697945 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 200344004021100 its reverse (1120400443002), we get a palindrome (201464404464102).

The spelling of 200344004021100 in words is "two hundred trillion, three hundred forty-four billion, four million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3137 3950 4740 5925 6274 7900 9411 11850 12548 15685 18822 23700 31370 37644 47055 62740 78425 94110 156850 188220 235275 247823 313700 470550 495646 743469 941100 991292 1239115 1486938 2478230 2694719 2973876 3717345 4956460 5389438 6195575 7434690 8084157 10778876 12391150 13473595 14869380 16168314 18586725 24782300 26947190 32336628 37173450 40420785 53894380 67367975 74346900 80841570 134735950 161683140 202103925 212882801 269471900 404207850 425765602 638648403 808415700 851531204 1064414005 1277296806 2128828010 2554593612 3193242015 4257656020 5322070025 6386484030 8453333503 10644140050 12772968060 15966210075 16906667006 21288280100 25360000509 31932420150 33813334012 42266667515 50720001018 63864840300 84533335030 101440002036 126800002545 169066670060 211333337575 253600005090 422666675150 507200010180 634000012725 667813346737 845333350300 1268000025450 1335626693474 2003440040211 2536000050900 2671253386948 3339066733685 4006880080422 6678133467370 8013760160844 10017200201055 13356266934740 16695333668425 20034400402110 33390667336850 40068800804220 50086001005275 66781334673700 100172002010550 200344004021100