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103210230200 = 235271110196577
BaseRepresentation
bin110000000011111001…
…1110010000110111000
3100212101220020221012112
41200013303302012320
53142333304331300
6115225241231452
710312434324140
oct1400763620670
9325356227175
10103210230200
113a853536610
1218004a92588
13996a92083c
144dd154d920
152a40ea8e35
hex1807cf21b8

103210230200 has 192 divisors, whose sum is σ = 299514758400. Its totient is φ = 32132966400.

The previous prime is 103210230143. The next prime is 103210230203. The reversal of 103210230200 is 2032012301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210230203) 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 47 ways as a sum of consecutive naturals, for example, 15689312 + ... + 15695888.

It is an arithmetic number, because the mean of its divisors is an integer number (1559972700).

Almost surely, 2103210230200 is an apocalyptic number.

103210230200 is a gapful number since it is divisible by the number (10) 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 103210230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149757379200).

103210230200 is an abundant number, since it is smaller than the sum of its proper divisors (196304528200).

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

103210230200 is a wasteful number, since it uses less digits than its factorization.

103210230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103210230200 its reverse (2032012301), we get a palindrome (105242242501).

The spelling of 103210230200 in words is "one hundred three billion, two hundred ten million, two hundred thirty thousand, two hundred".