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103213000300 = 225253149130699
BaseRepresentation
bin110000000011111111…
…0010110011001101100
3100212102002110200001211
41200013332112121230
53142340012002200
6115225420444204
710312500012214
oct1400776263154
9325362420054
10103213000300
113a855058853
12180059a9664
13996b380657
144dd1a71244
152a41354aba
hex1807f9666c

103213000300 has 72 divisors (see below), whose sum is σ = 229731390000. Its totient is φ = 40234072320.

The previous prime is 103213000283. The next prime is 103213000327. The reversal of 103213000300 is 3000312301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 724351 + ... + 855049.

It is an arithmetic number, because the mean of its divisors is an integer number (3190713750).

Almost surely, 2103213000300 is an apocalyptic number.

103213000300 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 103213000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114865695000).

103213000300 is an abundant number, since it is smaller than the sum of its proper divisors (126518389700).

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

103213000300 is a wasteful number, since it uses less digits than its factorization.

103213000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130915 (or 130908 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 103213000300 its reverse (3000312301), we get a palindrome (106213312601).

The spelling of 103213000300 in words is "one hundred three billion, two hundred thirteen million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 53 100 106 149 212 265 298 530 596 745 1060 1325 1490 2650 2980 3725 5300 7450 7897 14900 15794 31588 39485 78970 130699 157940 197425 261398 394850 522796 653495 789700 1306990 2613980 3267475 6534950 6927047 13069900 13854094 19474151 27708188 34635235 38948302 69270470 77896604 97370755 138540940 173176175 194741510 346352350 389483020 486853775 692704700 973707550 1032130003 1947415100 2064260006 4128520012 5160650015 10321300030 20642600060 25803250075 51606500150 103213000300