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203211212000 = 2553404912547
BaseRepresentation
bin1011110101000001010…
…1010000010011100000
3201102112010202011020012
42331100111100103200
511312134032241000
6233204241304052
720452522542056
oct2752025202340
9642463664205
10203211212000
11791aa482315
1233473035028
13162166b5114
149b9a7881d6
155445339735
hex2f505504e0

203211212000 has 96 divisors (see below), whose sum is σ = 499453063200. Its totient is φ = 81257932800.

The previous prime is 203211211949. The next prime is 203211212011. The reversal of 203211212000 is 212112302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16189727 + ... + 16202273.

It is an arithmetic number, because the mean of its divisors is an integer number (5202636075).

Almost surely, 2203211212000 is an apocalyptic number.

203211212000 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 203211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249726531600).

203211212000 is an abundant number, since it is smaller than the sum of its proper divisors (296241851200).

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

203211212000 is a wasteful number, since it uses less digits than its factorization.

203211212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16621 (or 16603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 203211212000 its reverse (212112302), we get a palindrome (203423324302).

It can be divided in two parts, 20321 and 1212000, that added together give a palindrome (1232321).

The spelling of 203211212000 in words is "two hundred three billion, two hundred eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4049 8098 12547 16196 20245 25094 32392 40490 50188 62735 64784 80980 100376 101225 125470 129568 161960 200752 202450 250940 313675 323920 401504 404900 501880 506125 627350 647840 809800 1003760 1012250 1254700 1568375 1619600 2007520 2024500 2509400 3136750 3239200 4049000 5018800 6273500 8098000 10037600 12547000 16196000 25094000 50188000 50802803 101605606 203211212 254014015 406422424 508028030 812844848 1016056060 1270070075 1625689696 2032112120 2540140150 4064224240 5080280300 6350350375 8128448480 10160560600 12700700750 20321121200 25401401500 40642242400 50802803000 101605606000 203211212000