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102311221100 = 225211197472133
BaseRepresentation
bin101111101001000111…
…0010101011101101100
3100210002020121112120012
41133102032111131230
53134013133033400
6115000124312352
710251240013304
oct1372216253554
9323066545505
10102311221100
113a432020790
12179b39a26b8
1398565b31aa
144d47db0604
1529dc0c5d35
hex17d239576c

102311221100 has 72 divisors (see below), whose sum is σ = 243428513328. Its totient is φ = 37015148800.

The previous prime is 102311221093. The next prime is 102311221151. The reversal of 102311221100 is 1122113201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19367 + ... + 452766.

It is an arithmetic number, because the mean of its divisors is an integer number (3380951574).

Almost surely, 2102311221100 is an apocalyptic number.

102311221100 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 102311221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121714256664).

102311221100 is an abundant number, since it is smaller than the sum of its proper divisors (141117292228).

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

102311221100 is a wasteful number, since it uses less digits than its factorization.

102311221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472355 (or 472348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102311221100 its reverse (1122113201), we get a palindrome (103433334301).

The spelling of 102311221100 in words is "one hundred two billion, three hundred eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 394 550 788 985 1100 1970 2167 3940 4334 4925 8668 9850 10835 19700 21670 43340 54175 108350 216700 472133 944266 1888532 2360665 4721330 5193463 9442660 10386926 11803325 20773852 23606650 25967315 47213300 51934630 93010201 103869260 129836575 186020402 259673150 372040804 465051005 519346300 930102010 1023112211 1860204020 2046224422 2325255025 4092448844 4650510050 5115561055 9301020100 10231122110 20462244220 25577805275 51155610550 102311221100