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2103223122 = 232711131131033
BaseRepresentation
bin111110101011100…
…1010001101010010
312102120120210201200
41331113022031102
513301411114442
6544411212030
7103056046560
oct17527121522
95376523650
102103223122
1198a23a730
124a8447016
13276978c30
1415d488a30
15c49a234c
hex7d5ca352

2103223122 has 192 divisors, whose sum is σ = 6178588416. Its totient is φ = 499322880.

The previous prime is 2103223103. The next prime is 2103223127. The reversal of 2103223122 is 2213223012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2103223095 and 2103223104.

It is not an unprimeable number, because it can be changed into a prime (2103223127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2035518 + ... + 2036550.

It is an arithmetic number, because the mean of its divisors is an integer number (32180148).

Almost surely, 22103223122 is an apocalyptic number.

2103223122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103223122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089294208).

2103223122 is an abundant number, since it is smaller than the sum of its proper divisors (4075365294).

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

2103223122 is a wasteful number, since it uses less digits than its factorization.

2103223122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2103223122 is about 45860.9106102354. The cubic root of 2103223122 is about 1281.2339829304.

Adding to 2103223122 its reverse (2213223012), we get a palindrome (4316446134).

It can be divided in two parts, 210322 and 3122, that added together give a square (213444 = 4622).

The spelling of 2103223122 in words is "two billion, one hundred three million, two hundred twenty-three thousand, one hundred twenty-two".