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220311100200 = 23352677542371
BaseRepresentation
bin1100110100101110010…
…0001001101100101000
3210001122212012110222210
43031023210021230220
512102144120201300
6245113131245120
721626341311402
oct3151344115450
9701585173883
10220311100200
1185484966424
12368458a97a0
1317a102b0169
14a93d829b72
155ae6693050
hex334b909b28

220311100200 has 96 divisors (see below), whose sum is σ = 683974481760. Its totient is φ = 58662739200.

The previous prime is 220311100193. The next prime is 220311100223. The reversal of 220311100200 is 2001113022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135015 + ... + 677385.

It is an arithmetic number, because the mean of its divisors is an integer number (7124734185).

Almost surely, 2220311100200 is an apocalyptic number.

220311100200 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 220311100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341987240880).

220311100200 is an abundant number, since it is smaller than the sum of its proper divisors (463663381560).

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

220311100200 is a wasteful number, since it uses less digits than its factorization.

220311100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543067 (or 543058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 220311100200 its reverse (2001113022), we get a palindrome (222312213222).

The spelling of 220311100200 in words is "two hundred twenty billion, three hundred eleven million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 677 1354 2031 2708 3385 4062 5416 6770 8124 10155 13540 16248 16925 20310 27080 33850 40620 50775 67700 81240 101550 135400 203100 406200 542371 1084742 1627113 2169484 2711855 3254226 4338968 5423710 6508452 8135565 10847420 13016904 13559275 16271130 21694840 27118550 32542260 40677825 54237100 65084520 81355650 108474200 162711300 325422600 367185167 734370334 1101555501 1468740668 1835925835 2203111002 2937481336 3671851670 4406222004 5507777505 7343703340 8812444008 9179629175 11015555010 14687406680 18359258350 22031110020 27538887525 36718516700 44062220040 55077775050 73437033400 110155550100 220311100200