Search a number
-
+
200001121000 = 23534712493407
BaseRepresentation
bin1011101001000011111…
…1101110101011101000
3201010020102101122012221
42322100333232223220
511234100241333000
6231513530043424
720310133323142
oct2722077565350
9633212348187
10200001121000
117790246744a
1232917b79574
1315b246224a5
1499742d3c92
1553085e661a
hex2e90feeae8

200001121000 has 128 divisors (see below), whose sum is σ = 478483200000. Its totient is φ = 78212659200.

The previous prime is 200001120997. The next prime is 200001121003. The reversal of 200001121000 is 121100002.

200001121000 is digitally balanced in base 3, because in such base 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 (200001120997) and next prime (200001121003).

It is not an unprimeable number, because it can be changed into a prime (200001121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58701297 + ... + 58704703.

It is an arithmetic number, because the mean of its divisors is an integer number (3738150000).

Almost surely, 2200001121000 is an apocalyptic number.

200001121000 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 200001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239241600000).

200001121000 is an abundant number, since it is smaller than the sum of its proper divisors (278482079000).

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

200001121000 is a wasteful number, since it uses less digits than its factorization.

200001121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200001121000 its reverse (121100002), we get a palindrome (200122221002).

The spelling of 200001121000 in words is "two hundred billion, one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1249 1880 2350 2498 3407 4700 4996 5875 6245 6814 9400 9992 11750 12490 13628 17035 23500 24980 27256 31225 34070 47000 49960 58703 62450 68140 85175 117406 124900 136280 156125 160129 170350 234812 249800 293515 312250 320258 340700 425875 469624 587030 624500 640516 681400 800645 851750 1174060 1249000 1281032 1467575 1601290 1703500 2348120 2935150 3202580 3407000 4003225 4255343 5870300 6405160 7337875 8006450 8510686 11740600 14675750 16012900 17021372 20016125 21276715 29351500 32025800 34042744 40032250 42553430 58703000 80064500 85106860 106383575 160129000 170213720 200001121 212767150 400002242 425534300 531917875 800004484 851068600 1000005605 1063835750 1600008968 2000011210 2127671500 4000022420 4255343000 5000028025 8000044840 10000056050 20000112100 25000140125 40000224200 50000280250 100000560500 200001121000