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20102300 = 2252414903
BaseRepresentation
bin100110010101…
…1110010011100
31101211022011122
41030223302130
520121233200
61554510112
7332603201
oct114536234
941738148
1020102300
1110390179
126895338
13421ab6a
142953ca8
151b71385
hex132bc9c

20102300 has 36 divisors (see below), whose sum is σ = 44695056. Its totient is φ = 7843200.

The previous prime is 20102293. The next prime is 20102309. The reversal of 20102300 is 320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1649 + ... + 6551.

Almost surely, 220102300 is an apocalyptic number.

20102300 is a gapful number since it is divisible by the number (20) 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 20102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347528).

20102300 is an abundant number, since it is smaller than the sum of its proper divisors (24592756).

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

20102300 is a wasteful number, since it uses less digits than its factorization.

20102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 20102300 is about 4483.5588543031. The cubic root of 20102300 is about 271.9037830098.

Adding to 20102300 its reverse (320102), we get a palindrome (20422402).

It can be divided in two parts, 20102 and 300, that added together give a palindrome (20402).

The spelling of 20102300 in words is "twenty million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 4903 9806 19612 24515 49030 98060 122575 201023 245150 402046 490300 804092 1005115 2010230 4020460 5025575 10051150 20102300