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203211300000 = 25355677371
BaseRepresentation
bin1011110101000001010…
…1100101110010100000
3201102112010220121221110
42331100111211302200
511312134043100000
6233204243223320
720452523356452
oct2752025456240
9642463817843
10203211300000
11791aa532445
1233473077b40
13162167161a7
149b9a7ac2d2
155445355850
hex2f50565ca0

203211300000 has 144 divisors (see below), whose sum is σ = 666745388064. Its totient is φ = 54189600000.

The previous prime is 203211299983. The next prime is 203211300013. The reversal of 203211300000 is 3112302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 38686 + ... + 638685.

It is an arithmetic number, because the mean of its divisors is an integer number (4630176306).

Almost surely, 2203211300000 is an apocalyptic number.

203211300000 is a gapful number since it is divisible by the number (20) 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 203211300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333372694032).

203211300000 is an abundant number, since it is smaller than the sum of its proper divisors (463534088064).

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

203211300000 is an frugal number, since it uses more digits than its factorization.

203211300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677409 (or 677381 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 203211300000 its reverse (3112302), we get a palindrome (203214412302).

The spelling of 203211300000 in words is "two hundred three billion, two hundred eleven million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 677371 1354742 2032113 2709484 3386855 4064226 5418968 6773710 8128452 10160565 10837936 13547420 16256904 16934275 20321130 21675872 27094840 32513808 33868550 40642260 50802825 54189680 65027616 67737100 81284520 84671375 101605650 108379360 135474200 162569040 169342750 203211300 254014125 270948400 325138080 338685500 406422600 423356875 508028250 541896800 677371000 812845200 846713750 1016056500 1270070625 1354742000 1625690400 1693427500 2032113000 2116784375 2540141250 2709484000 3386855000 4064226000 4233568750 5080282500 6350353125 6773710000 8128452000 8467137500 10160565000 12700706250 13547420000 16934275000 20321130000 25401412500 33868550000 40642260000 50802825000 67737100000 101605650000 203211300000