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201320033332332 = 223297928163260017
BaseRepresentation
bin101101110001100101111001…
…000100101010110001101100
3222101211000012021020020102010
4231301211321010222301230
5202341411412013113312
61552101051353001220
760255615046441005
oct5561457104526154
9871730167206363
10201320033332332
115916838a460642
121a6b52079b3210
138844522931905
14379dd27a901ac
151841be1b1693c
hexb7197912ac6c

201320033332332 has 96 divisors (see below), whose sum is σ = 492115475174400. Its totient is φ = 63969976691712.

The previous prime is 201320033332291. The next prime is 201320033332357. The reversal of 201320033332332 is 233233330023102.

201320033332332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201320033332332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774127188 + ... + 774387204.

It is an arithmetic number, because the mean of its divisors is an integer number (5126202866400).

Almost surely, 2201320033332332 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 201320033332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246057737587200).

201320033332332 is an abundant number, since it is smaller than the sum of its proper divisors (290795441842068).

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

201320033332332 is a wasteful number, since it uses less digits than its factorization.

201320033332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288295 (or 288293 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 201320033332332 its reverse (233233330023102), we get a palindrome (434553363355434).

The spelling of 201320033332332 in words is "two hundred one trillion, three hundred twenty billion, thirty-three million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 237 316 348 474 948 2291 4582 6873 9164 13746 27492 28163 56326 84489 112652 168978 260017 337956 520034 780051 816727 1040068 1560102 1633454 2224877 2450181 3120204 3266908 4449754 4900362 6674631 7540493 8899508 9800724 13349262 15080986 20541343 22621479 26698524 30161972 41082686 45242958 61624029 64521433 82165372 90485916 123248058 129042866 193564299 246496116 258085732 387128598 595698947 774257196 1191397894 1787096841 2382795788 3574193682 7148387364 7322858771 14645717542 21968576313 29291435084 43937152626 87874305252 212362904359 424725808718 578505842909 637088713077 849451617436 1157011685818 1274177426154 1735517528727 2314023371636 2548354852308 3471035057454 6942070114908 16776669444361 33553338888722 50330008333083 67106677777444 100660016666166 201320033332332