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312020321421303 = 331123414201265193
BaseRepresentation
bin100011011110001111110010…
…0011010111100011111110111
31111220202211222200100212001000
41012330133210122330133313
5311344120104240440203
63023340053512534343
7122502503302644615
oct10674374432743767
91456684880325030
10312020321421303
11904680910a8990
122abb37663b13b3
131051450bc5a441
145709c152886b5
15261157083b4a3
hex11bc7e46bc7f7

312020321421303 has 128 divisors (see below), whose sum is σ = 539164775761920. Its totient is φ = 176426933760000.

The previous prime is 312020321421241. The next prime is 312020321421337. The reversal of 312020321421303 is 303124123020213.

312020321421303 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 203 + 2 + 1 + 421 + 30 + 3 = 666.

It is not a de Polignac number, because 312020321421303 - 242 = 307622274910199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312020321425303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1176445675 + ... + 1176710867.

It is an arithmetic number, because the mean of its divisors is an integer number (4212224810640).

Almost surely, 2312020321421303 is an apocalyptic number.

312020321421303 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312020321421303 is a deficient number, since it is larger than the sum of its proper divisors (227144454340617).

312020321421303 is a wasteful number, since it uses less digits than its factorization.

312020321421303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269478 (or 269472 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312020321421303 its reverse (303124123020213), we get a palindrome (615144444441516).

The spelling of 312020321421303 in words is "three hundred twelve trillion, twenty billion, three hundred twenty-one million, four hundred twenty-one thousand, three hundred three".

Divisors: 1 3 9 11 23 27 33 41 69 99 123 207 253 297 369 451 621 759 943 1107 1353 2277 2829 4059 4201 6831 8487 10373 12177 12603 25461 31119 37809 46211 93357 96623 113427 138633 172241 265193 280071 289869 415899 516723 795579 869607 1062853 1247697 1550169 1894651 2386737 2608821 2917123 3188559 3961543 4650507 5683953 6099439 7160211 8751369 9565677 10872913 11884629 17051859 18298317 26254107 28697031 32618739 35653887 43576973 51155577 54894951 67093829 78762321 97856217 106961661 119602043 130730919 164684853 201281487 250076999 293568651 358806129 392192757 603844461 750230997 1076418387 1114075793 1176578271 1811533383 2250692991 2750846989 3229255161 3342227379 6752078973 8252540967 10026682137 12254833723 24757622901 25623743239 30080046411 36764501169 45677107513 74272868703 76871229717 110293503507 137031322539 230613689151 281861175629 330880510521 411093967617 502448182643 691841067453 845583526887 1050573472799 1233281902851 1507344547929 2536750580661 3151720418397 4522033643787 7610251741983 9455161255191 11556308200789 13566100931361 28365483765573 34668924602367 104006773807101 312020321421303