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103200010300 = 22524787725037
BaseRepresentation
bin110000000011100110…
…0110011000000111100
3100212101012000201010201
41200013030303000330
53142323200312200
6115224234213244
710312251420412
oct1400714630074
9325335021121
10103200010300
113a848796212
1218001584224
139968782b6a
144dd004d2b2
152a4013ac6a
hex180733303c

103200010300 has 72 divisors (see below), whose sum is σ = 228978719424. Its totient is φ = 40354026240.

The previous prime is 103200010273. The next prime is 103200010301. The reversal of 103200010300 is 3010002301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200010301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4109382 + ... + 4134418.

It is an arithmetic number, because the mean of its divisors is an integer number (3180259992).

Almost surely, 2103200010300 is an apocalyptic number.

103200010300 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 103200010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114489359712).

103200010300 is an abundant number, since it is smaller than the sum of its proper divisors (125778709124).

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

103200010300 is a wasteful number, since it uses less digits than its factorization.

103200010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25975 (or 25968 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 103200010300 its reverse (3010002301), we get a palindrome (106210012601).

The spelling of 103200010300 in words is "one hundred three billion, two hundred million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 877 940 1175 1754 2350 3508 4385 4700 8770 17540 21925 25037 41219 43850 50074 82438 87700 100148 125185 164876 206095 250370 412190 500740 625925 824380 1030475 1176739 1251850 2060950 2353478 2503700 4121900 4706956 5883695 11767390 21957449 23534780 29418475 43914898 58836950 87829796 109787245 117673900 219574490 439148980 548936225 1032000103 1097872450 2064000206 2195744900 4128000412 5160000515 10320001030 20640002060 25800002575 51600005150 103200010300