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10200032300 = 22521731193549
BaseRepresentation
bin10010111111111100…
…00010010000101100
3222022212011022212002
421133332002100230
5131342202013200
64404050031432
7510523562333
oct113776022054
928285138762
1010200032300
11436471a267
121b87b78578
13c67286393
146ca952d1a
153ea721bd5
hex25ff8242c

10200032300 has 72 divisors (see below), whose sum is σ = 24192201600. Its totient is φ = 3716121600.

The previous prime is 10200032281. The next prime is 10200032303. The reversal of 10200032300 is 323000201.

10200032300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10200032303) 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 23 ways as a sum of consecutive naturals, for example, 44075 + ... + 149474.

It is an arithmetic number, because the mean of its divisors is an integer number (336002800).

Almost surely, 210200032300 is an apocalyptic number.

10200032300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200032300 is an abundant number, since it is smaller than the sum of its proper divisors (13992169300).

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

10200032300 is a wasteful number, since it uses less digits than its factorization.

10200032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193611 (or 193604 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10200032300 its reverse (323000201), we get a palindrome (10523032501).

The spelling of 10200032300 in words is "ten billion, two hundred million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2635 3100 5270 10540 13175 26350 52700 193549 387098 774196 967745 1935490 3290333 3870980 4838725 6000019 6580666 9677450 12000038 13161332 16451665 19354900 24000076 30000095 32903330 60000190 65806660 82258325 102000323 120000380 150000475 164516650 204000646 300000950 329033300 408001292 510001615 600001900 1020003230 2040006460 2550008075 5100016150 10200032300