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1220000303200 = 255271271715411
BaseRepresentation
bin10001110000001101101…
…011110100100001100000
311022122000220210210010211
4101300031223310201200
5124442030034200300
62332243240303504
7154066513321630
oct21601553644140
94278026723124
101220000303200
11430443402998
1217853b771b94
138b07906a643
144309688c6c0
1521b059b64ba
hex11c0daf4860

1220000303200 has 144 divisors (see below), whose sum is σ = 3430604427264. Its totient is φ = 414991987200.

The previous prime is 1220000303129. The next prime is 1220000303209. The reversal of 1220000303200 is 23030000221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220000303209) 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, 146506 + ... + 1568905.

It is an arithmetic number, because the mean of its divisors is an integer number (23823641856).

Almost surely, 21220000303200 is an apocalyptic number.

1220000303200 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 1220000303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715302213632).

1220000303200 is an abundant number, since it is smaller than the sum of its proper divisors (2210604124064).

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

1220000303200 is a wasteful number, since it uses less digits than its factorization.

1220000303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715565 (or 1715552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 1220000303200 its reverse (23030000221), we get a palindrome (1243030303421).

The spelling of 1220000303200 in words is "one trillion, two hundred twenty billion, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 127 140 160 175 200 224 254 280 350 400 508 560 635 700 800 889 1016 1120 1270 1400 1778 2032 2540 2800 3175 3556 4064 4445 5080 5600 6350 7112 8890 10160 12700 14224 17780 20320 22225 25400 28448 35560 44450 50800 71120 88900 101600 142240 177800 355600 711200 1715411 3430822 6861644 8577055 12007877 13723288 17154110 24015754 27446576 34308220 42885275 48031508 54893152 60039385 68616440 85770550 96063016 120078770 137232880 171541100 192126032 217857197 240157540 274465760 300196925 343082200 384252064 435714394 480315080 600393850 686164400 871428788 960630160 1089285985 1200787700 1372328800 1525000379 1742857576 1921260320 2178571970 2401575400 3050000758 3485715152 4357143940 4803150800 5446429925 6100001516 6971430304 7625001895 8714287880 9606301600 10892859850 12200003032 15250003790 17428575760 21785719700 24400006064 30500007580 34857151520 38125009475 43571439400 48800012128 61000015160 76250018950 87142878800 122000030320 152500037900 174285757600 244000060640 305000075800 610000151600 1220000303200