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201302323212312 = 23337177831556303
BaseRepresentation
bin101101110001010101011001…
…011101111011000000011000
3222101202022111000111220222000
4231301111121131323000120
5202341114124220243222
61552045002143401000
760254420141056020
oct5561253135730030
9871668430456860
10201302323212312
1159160921570313
121a6b18a48b3160
13884295c797a5a
14379d127960a80
151841506e1d9ac
hexb7155977b018

201302323212312 has 128 divisors (see below), whose sum is σ = 676646464665600. Its totient is φ = 54131717159424.

The previous prime is 201302323212283. The next prime is 201302323212337. The reversal of 201302323212312 is 213212323203102.

201302323212312 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 2 + 323 + 21 + 2 + 312 = 666.

201302323212312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 3915752448 + ... + 3915803855.

It is an arithmetic number, because the mean of its divisors is an integer number (5286300505200).

Almost surely, 2201302323212312 is an apocalyptic number.

It is an amenable number.

201302323212312 is an abundant number, since it is smaller than the sum of its proper divisors (475344141453288).

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

201302323212312 is a wasteful number, since it uses less digits than its factorization.

201302323212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831556342 (or 7831556332 counting only the distinct ones).

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

Adding to 201302323212312 its reverse (213212323203102), we get a palindrome (414514646415414).

The spelling of 201302323212312 in words is "two hundred one trillion, three hundred two billion, three hundred twenty-three million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 7831556303 15663112606 23494668909 31326225212 46989337818 54820894121 62652450424 70484006727 93978675636 109641788242 133136457151 140968013454 164462682363 187957351272 211452020181 219283576484 266272914302 281936026908 328925364726 399409371453 422904040362 438567152968 493388047089 532545828604 563872053816 657850729452 798818742906 845808080724 931955200057 986776094178 1065091657208 1198228114359 1315701458904 1480164141267 1597637485812 1691616161448 1863910400114 1973552188356 2396456228718 2795865600171 2960328282534 3195274971624 3594684343077 3727820800228 3947104376712 4792912457436 5591731200342 5920656565068 7189368686154 7455641600456 8387596800513 9585824914872 11183462400684 11841313130136 14378737372308 16775193601026 22366924801368 25162790401539 28757474744616 33550387202052 50325580803078 67100774404104 100651161606156 201302323212312