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201543350112 = 25321397554959
BaseRepresentation
bin1011101110110011101…
…0110111011101100000
3201021012220100222211200
42323230322313131200
511300230044200422
6232330541241200
720363301132006
oct2735472673540
9637186328750
10201543350112
1178523a6aa65
1233088563200
131600bcabab0
149a7d06aa76
155398bd32ac
hex2eeceb7760

201543350112 has 144 divisors (see below), whose sum is σ = 623590793280. Its totient is φ = 61373915136.

The previous prime is 201543350093. The next prime is 201543350143. The reversal of 201543350112 is 211053345102.

201543350112 is a `hidden beast` number, since 2 + 0 + 1 + 543 + 3 + 5 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85689 + ... + 640647.

It is an arithmetic number, because the mean of its divisors is an integer number (4330491620).

Almost surely, 2201543350112 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 201543350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311795396640).

201543350112 is an abundant number, since it is smaller than the sum of its proper divisors (422047443168).

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

201543350112 is a wasteful number, since it uses less digits than its factorization.

201543350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555085 (or 555074 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 201543350112 its reverse (211053345102), we get a palindrome (412596695214).

The spelling of 201543350112 in words is "two hundred one billion, five hundred forty-three million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 388 416 468 582 624 776 873 936 1164 1248 1261 1552 1746 1872 2328 2522 3104 3492 3744 3783 4656 5044 6984 7566 9312 10088 11349 13968 15132 20176 22698 27936 30264 40352 45396 60528 90792 121056 181584 363168 554959 1109918 1664877 2219836 3329754 4439672 4994631 6659508 7214467 8879344 9989262 13319016 14428934 17758688 19978524 21643401 26638032 28857868 39957048 43286802 53276064 53831023 57715736 64930203 79914096 86573604 107662046 115431472 129860406 159828192 161493069 173147208 215324092 230862944 259720812 322986138 346294416 430648184 484479207 519441624 645972276 692588832 699803299 861296368 968958414 1038883248 1291944552 1399606598 1722592736 1937916828 2077766496 2099409897 2583889104 2799213196 3875833656 4198819794 5167778208 5598426392 6298229691 7751667312 8397639588 11196852784 12596459382 15503334624 16795279176 22393705568 25192918764 33590558352 50385837528 67181116704 100771675056 201543350112