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2300322100 = 225223003221
BaseRepresentation
bin1000100100011100…
…0010000100110100
312221022110110200211
42021013002010310
514202340301400
61020131515204
7111001262266
oct21107020464
95838413624
102300322100
11a8052104a
12542458b04
132a875894b
1417b713b36
15d6e36dba
hex891c2134

2300322100 has 18 divisors (see below), whose sum is σ = 4991699174. Its totient is φ = 920128800.

The previous prime is 2300322041. The next prime is 2300322107. The reversal of 2300322100 is 12230032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 363970084 + 1936352016 = 19078^2 + 44004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300322107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11501511 + ... + 11501710.

Almost surely, 22300322100 is an apocalyptic number.

2300322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300322100 is an abundant number, since it is smaller than the sum of its proper divisors (2691377074).

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

2300322100 is a wasteful number, since it uses less digits than its factorization.

2300322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23003235 (or 23003228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2300322100 is about 47961.6732402030. The cubic root of 2300322100 is about 1320.0677383359.

Adding to 2300322100 its reverse (12230032), we get a palindrome (2312552132).

The spelling of 2300322100 in words is "two billion, three hundred million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 23003221 46006442 92012884 115016105 230032210 460064420 575080525 1150161050 2300322100