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100222000100 = 22521002220001
BaseRepresentation
bin101110101010110110…
…0100101101111100100
3100120200122101010010122
41131111230211233210
53120223313000400
6114012533141112
710145410642055
oct1352554455744
9316618333118
10100222000100
113955a785062
121751018a798
1395b27ca651
144bca72c72c
15291898c685
hex1755b25be4

100222000100 has 18 divisors (see below), whose sum is σ = 217481740434. Its totient is φ = 40088800000.

The previous prime is 100222000097. The next prime is 100222000117. The reversal of 100222000100 is 1000222001.

It can be written as a sum of positive squares in 3 ways, for example, as 10399512484 + 89822487616 = 101978^2 + 299704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501109901 + ... + 501110100.

It is an arithmetic number, because the mean of its divisors is an integer number (12082318913).

Almost surely, 2100222000100 is an apocalyptic number.

100222000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222000100 is an abundant number, since it is smaller than the sum of its proper divisors (117259740334).

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

100222000100 is a wasteful number, since it uses less digits than its factorization.

100222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002220015 (or 1002220008 counting only the distinct ones).

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

Adding to 100222000100 its reverse (1000222001), we get a palindrome (101222222101).

The spelling of 100222000100 in words is "one hundred billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1002220001 2004440002 4008880004 5011100005 10022200010 20044400020 25055500025 50111000050 100222000100