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213314240233182 = 231167136135444021
BaseRepresentation
bin110000100000001000010111…
…100000111011111011011110
31000222021122100011120102010210
4300200020113200323323132
5210424420030444430212
62033403113100513250
762634305505103434
oct6040102740737336
91028248304512123
10213314240233182
1161a720745802a0
121bb1188b54b826
1392045a6087a7a
143a9667011ad54
15199dbd616d53c
hexc2021783bede

213314240233182 has 64 divisors (see below), whose sum is σ = 472706429983488. Its totient is φ = 63629104704000.

The previous prime is 213314240233163. The next prime is 213314240233183. The reversal of 213314240233182 is 281332042413312.

It is a self number, because there is not a number n which added to its sum of digits gives 213314240233182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213314240233183) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11703669 + ... + 23740352.

It is an arithmetic number, because the mean of its divisors is an integer number (7386037968492).

Almost surely, 2213314240233182 is an apocalyptic number.

213314240233182 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213314240233182 is an abundant number, since it is smaller than the sum of its proper divisors (259392189750306).

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

213314240233182 is a wasteful number, since it uses less digits than its factorization.

213314240233182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35445465.

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 213314240233182 its reverse (281332042413312), we get a palindrome (494646282646494).

It can be divided in two parts, 2133142 and 40233182, that added together give a palindrome (42366324).

The spelling of 213314240233182 in words is "two hundred thirteen trillion, three hundred fourteen billion, two hundred forty million, two hundred thirty-three thousand, one hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1361 1474 2211 2722 4083 4422 8166 14971 29942 44913 89826 91187 182374 273561 547122 1003057 2006114 3009171 6018342 35444021 70888042 106332063 212664126 389884231 779768462 1169652693 2339305386 2374749407 4749498814 7124248221 14248496442 26122243477 48239312581 52244486954 78366730431 96478625162 144717937743 156733460862 289435875486 530632438391 1061264876782 1591897315173 3183794630346 3232033942927 6464067885854 9696101828781 19392203657562 35552373372197 71104746744394 106657120116591 213314240233182