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203211222312 = 233729109138231
BaseRepresentation
bin1011110101000001010…
…1010010110100101000
3201102112010202200101010
42331100111102310220
511312134033103222
6233204241423520
720452522614120
oct2752025226450
9642463680333
10203211222312
11791aa48a03a
123347303aba0
13162166b9a17
149b9a78bc80
15544533c80c
hex2f50552d28

203211222312 has 128 divisors (see below), whose sum is σ = 601190553600. Its totient is φ = 56005420800.

The previous prime is 203211222311. The next prime is 203211222419. The reversal of 203211222312 is 213222112302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (203211222311) 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 31 ways as a sum of consecutive naturals, for example, 5296237 + ... + 5334467.

It is an arithmetic number, because the mean of its divisors is an integer number (4696801200).

Almost surely, 2203211222312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203211222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300595276800).

203211222312 is an abundant number, since it is smaller than the sum of its proper divisors (397979331288).

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

203211222312 is a wasteful number, since it uses less digits than its factorization.

203211222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39367 (or 39363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 203211222312 its reverse (213222112302), we get a palindrome (416433334614).

The spelling of 203211222312 in words is "two hundred three billion, two hundred eleven million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1091 1218 1624 2182 2436 3273 4364 4872 6546 7637 8728 13092 15274 22911 26184 30548 31639 38231 45822 61096 63278 76462 91644 94917 114693 126556 152924 183288 189834 221473 229386 253112 267617 305848 379668 442946 458772 535234 664419 759336 802851 885892 917544 1070468 1108699 1328838 1605702 1771784 2140936 2217398 2657676 3211404 3326097 4434796 5315352 6422808 6652194 7760893 8869592 13304388 15521786 23282679 26608776 31043572 41710021 46565358 62087144 83420042 93130716 125130063 166840084 186261432 250260126 291970147 333680168 500520252 583940294 875910441 1001040504 1167880588 1209590609 1751820882 2335761176 2419181218 3503641764 3628771827 4838362436 7007283528 7257543654 8467134263 9676724872 14515087308 16934268526 25401402789 29030174616 33868537052 50802805578 67737074104 101605611156 203211222312