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1220101100200 = 235219741973907
BaseRepresentation
bin10001110000010011101…
…100010101001010101000
311022122021221110210122001
4101300103230111022220
5124442231340201300
62332301240540344
7154102146143503
oct21602354251250
94278257423561
101220101100200
114304952991a4
121785694816b4
138b093bccb38
14430a600a13a
1521b0e77716a
hex11c13b152a8

1220101100200 has 96 divisors (see below), whose sum is σ = 2857978015200. Its totient is φ = 484397661440.

The previous prime is 1220101100191. The next prime is 1220101100227. The reversal of 1220101100200 is 20011010221.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16471647 + ... + 16545553.

It is an arithmetic number, because the mean of its divisors is an integer number (29770604325).

Almost surely, 21220101100200 is an apocalyptic number.

1220101100200 is a gapful number since it is divisible by the number (10) 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 1220101100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428989007600).

1220101100200 is an abundant number, since it is smaller than the sum of its proper divisors (1637876915000).

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

1220101100200 is a wasteful number, since it uses less digits than its factorization.

1220101100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74539 (or 74530 counting only the distinct ones).

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

Adding to 1220101100200 its reverse (20011010221), we get a palindrome (1240112110421).

The spelling of 1220101100200 in words is "one trillion, two hundred twenty billion, one hundred one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 419 788 838 985 1576 1676 1970 2095 3352 3940 4190 4925 7880 8380 9850 10475 16760 19700 20950 39400 41900 73907 82543 83800 147814 165086 295628 330172 369535 412715 591256 660344 739070 825430 1478140 1650860 1847675 2063575 2956280 3301720 3695350 4127150 7390700 8254300 14559679 14781400 16508600 29119358 30967033 58238716 61934066 72798395 116477432 123868132 145596790 154835165 247736264 291193580 309670330 363991975 582387160 619340660 727983950 774175825 1238681320 1455967900 1548351650 2911935800 3096703300 6100505501 6193406600 12201011002 24402022004 30502527505 48804044008 61005055010 122010110020 152512637525 244020220040 305025275050 610050550100 1220101100200