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100222200100 = 22521191111091
BaseRepresentation
bin101110101010110110…
…1010110100100100100
3100120200122202021111001
41131111231112210210
53120223340400400
6114012541323044
710145412434131
oct1352555264444
9316618667431
10100222200100
113955a901350
1217510266484
1395b286a6a9
144bca781588
1529189cba6a
hex1755b56924

100222200100 has 36 divisors (see below), whose sum is σ = 237253283568. Its totient is φ = 36444436000.

The previous prime is 100222200097. The next prime is 100222200109. The reversal of 100222200100 is 1002222001.

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

It is not an unprimeable number, because it can be changed into a prime (100222200109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45554446 + ... + 45556645.

It is an arithmetic number, because the mean of its divisors is an integer number (6590368988).

Almost surely, 2100222200100 is an apocalyptic number.

100222200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222200100 is an abundant number, since it is smaller than the sum of its proper divisors (137031083468).

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

100222200100 is a wasteful number, since it uses less digits than its factorization.

100222200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91111116 (or 91111109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100222200100 its reverse (1002222001), we get a palindrome (101224422101).

100222200100 divided by its reverse (1002222001) gives a square (100 = 102).

It can be divided in two parts, 10022 and 2200100, that added together give a palindrome (2210122).

The spelling of 100222200100 in words is "one hundred billion, two hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 91111091 182222182 364444364 455555455 911110910 1002222001 1822221820 2004444002 2277777275 4008888004 4555554550 5011110005 9111109100 10022220010 20044440020 25055550025 50111100050 100222200100