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10300014200 = 235278778389
BaseRepresentation
bin10011001011110110…
…11011111001111000
3222120211021221020102
421211323123321320
5132043300423300
64422021014532
7513146450630
oct114573337170
928524257212
1010300014200
1144060a9133
121bb5554448
13c81bc1878
146d9d3b6c0
154043c10d5
hex265edbe78

10300014200 has 96 divisors (see below), whose sum is σ = 27403082400. Its totient is φ = 3526986240.

The previous prime is 10300014199. The next prime is 10300014203. The reversal of 10300014200 is 241000301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300014203) 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, 1223606 + ... + 1231994.

It is an arithmetic number, because the mean of its divisors is an integer number (285448775).

Almost surely, 210300014200 is an apocalyptic number.

10300014200 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 10300014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701541200).

10300014200 is an abundant number, since it is smaller than the sum of its proper divisors (17103068200).

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

10300014200 is a wasteful number, since it uses less digits than its factorization.

10300014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10300014200 its reverse (241000301), we get a palindrome (10541014501).

The spelling of 10300014200 in words is "ten billion, three hundred million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 877 1400 1754 3508 4385 6139 7016 8389 8770 12278 16778 17540 21925 24556 30695 33556 35080 41945 43850 49112 58723 61390 67112 83890 87700 117446 122780 153475 167780 175400 209725 234892 245560 293615 306950 335560 419450 469784 587230 613900 838900 1174460 1227800 1468075 1677800 2348920 2936150 5872300 7357153 11744600 14714306 29428612 36785765 51500071 58857224 73571530 103000142 147143060 183928825 206000284 257500355 294286120 367857650 412000568 515000710 735715300 1030001420 1287501775 1471430600 2060002840 2575003550 5150007100 10300014200