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220011110000200 = 235261106916869689
BaseRepresentation
bin110010000001100101010100…
…000011101110011001001000
31001211222212010112112001101001
4302001211110003232121020
5212314130223130001300
62055531413021304344
764225164255644521
oct6201452403563110
91054885115461331
10220011110000200
1164114207a0aa32
12208137637050b4
13959bc6020271c
143c488475c7848
151a67ed949216a
hexc819540ee648

220011110000200 has 96 divisors (see below), whose sum is σ = 520397884089000. Its totient is φ = 86480768563200.

The previous prime is 220011110000197. The next prime is 220011110000333. The reversal of 220011110000200 is 2000011110022.

It can be written as a sum of positive squares in 12 ways, for example, as 596746980036 + 219414363020164 = 772494^2 + 14812642^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 4606956 + ... + 21476644.

Almost surely, 2220011110000200 is an apocalyptic number.

220011110000200 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 220011110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260198942044500).

220011110000200 is an abundant number, since it is smaller than the sum of its proper divisors (300386774088800).

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

220011110000200 is a wasteful number, since it uses less digits than its factorization.

220011110000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870835 (or 16870826 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220011110000200 its reverse (2000011110022), we get a palindrome (222011121110222).

The spelling of 220011110000200 in words is "two hundred twenty trillion, eleven billion, one hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1069 1220 1525 2138 2440 3050 4276 5345 6100 8552 10690 12200 21380 26725 42760 53450 65209 106900 130418 213800 260836 326045 521672 652090 1304180 1630225 2608360 3260450 6520900 13041800 16869689 33739378 67478756 84348445 134957512 168696890 337393780 421742225 674787560 843484450 1029051029 1686968900 2058102058 3373937800 4116204116 5145255145 8232408232 10290510290 18033697541 20581020580 25726275725 36067395082 41162041160 51452551450 72134790164 90168487705 102905102900 144269580328 180336975410 205810205800 360673950820 450842438525 721347901640 901684877050 1100055550001 1803369754100 2200111100002 3606739508200 4400222200004 5500277750005 8800444400008 11000555500010 22001111000020 27501388750025 44002222000040 55002777500050 110005555000100 220011110000200