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201324203142 = 23101103109127233
BaseRepresentation
bin1011101101111111011…
…0111000110010000110
3201020122122000011201020
42323133312320302012
511244302444000032
6232253112212010
720355000330366
oct2733766706206
9636578004636
10201324203142
117842129a667
123302709a006
1315ca577c72a
149a5bd029a6
155384845b2c
hex2edfdb8c86

201324203142 has 128 divisors (see below), whose sum is σ = 419404677120. Its totient is φ = 64403942400.

The previous prime is 201324203131. The next prime is 201324203161. The reversal of 201324203142 is 241302423102.

It is a happy number.

It is a super-2 number, since 2×2013242031422 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 864052258 + ... + 864052490.

It is an arithmetic number, because the mean of its divisors is an integer number (3276599040).

Almost surely, 2201324203142 is an apocalyptic number.

201324203142 is an abundant number, since it is smaller than the sum of its proper divisors (218080473978).

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

201324203142 is a wasteful number, since it uses less digits than its factorization.

201324203142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201324203142 its reverse (241302423102), we get a palindrome (442626626244).

The spelling of 201324203142 in words is "two hundred one billion, three hundred twenty-four million, two hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 101 103 109 127 202 206 218 233 254 303 309 327 381 466 606 618 654 699 762 1398 10403 11009 11227 12827 13081 13843 20806 22018 22454 23533 23999 25397 25654 26162 27686 29591 31209 33027 33681 38481 39243 41529 47066 47998 50794 59182 62418 66054 67362 70599 71997 76191 76962 78486 83058 88773 141198 143994 152382 177546 1133927 1321181 1398143 1425829 2267854 2423899 2565097 2615891 2642362 2796286 2851658 2988691 3047873 3225419 3401781 3963543 4194429 4277487 4847798 5130194 5231782 5977382 6095746 6450838 6803562 7271697 7695291 7847673 7927086 8388858 8554974 8966073 9143619 9676257 14543394 15390582 15695346 17932146 18287238 19352514 144008729 264204991 288017458 307835173 325767319 332218157 432026187 528409982 615670346 651534638 664436314 792614973 864052374 923505519 977301957 996654471 1585229946 1847011038 1954603914 1993308942 33554033857 67108067714 100662101571 201324203142