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201343145256 = 23331127703671
BaseRepresentation
bin1011101110000011111…
…1001001010100101000
3201020200221122112102000
42323200333021110220
511244322321122011
6232255030211000
720355320332251
oct2734077112450
9636627575360
10201343145256
1178430a58100
12330314b3a60
1315ca9682496
149a60633b28
155386338356
hex2ee0fc9528

201343145256 has 96 divisors (see below), whose sum is σ = 614753025600. Its totient is φ = 61013066400.

The previous prime is 201343145251. The next prime is 201343145281. The reversal of 201343145256 is 652541343102.

201343145256 is a `hidden beast` number, since 20 + 1 + 343 + 1 + 45 + 256 = 666.

201343145256 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201343145256.

It is not an unprimeable number, because it can be changed into a prime (201343145251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3825700 + ... + 3877971.

It is an arithmetic number, because the mean of its divisors is an integer number (6403677350).

Almost surely, 2201343145256 is an apocalyptic number.

It is an amenable number.

201343145256 is an abundant number, since it is smaller than the sum of its proper divisors (413409880344).

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

201343145256 is a wasteful number, since it uses less digits than its factorization.

201343145256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703708 (or 7703687 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 201343145256 its reverse (652541343102), we get a palindrome (853884488358).

The spelling of 201343145256 in words is "two hundred one billion, three hundred forty-three million, one hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136 7703671 15407342 23111013 30814684 46222026 61629368 69333039 84740381 92444052 138666078 169480762 184888104 207999117 254221143 277332156 338961524 415998234 508442286 554664312 677923048 762663429 831996468 932144191 1016884572 1525326858 1663992936 1864288382 2033769144 2287990287 2796432573 3050653716 3728576764 4575980574 5592865146 6101307432 7457153528 8389297719 9151961148 11185730292 16778595438 18303922296 22371460584 25167893157 33557190876 50335786314 67114381752 100671572628 201343145256