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14123100132141 = 37211133112160311
BaseRepresentation
bin1100110110000100101001…
…0111011101001100101101
31212000011012010112121001220
43031201022113131030231
53322343102113212031
650012021310053553
72655234405251100
oct315411227351455
955004163477056
1014123100132141
114555633921990
1217011997aa2b9
137b5a584b1520
1436b7c1404737
15197593126596
hexcd84a5dd32d

14123100132141 has 96 divisors (see below), whose sum is σ = 25817560344576. Its totient is φ = 6750536688000.

The previous prime is 14123100132107. The next prime is 14123100132179.

14123100132141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14123100132141 - 219 = 14123099607853 is a prime.

It is a super-2 number, since 2×141231001321412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14123100112141) 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 95 ways as a sum of consecutive naturals, for example, 5457376 + ... + 7617686.

It is an arithmetic number, because the mean of its divisors is an integer number (268932920256).

Almost surely, 214123100132141 is an apocalyptic number.

14123100132141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14123100132141 is a deficient number, since it is larger than the sum of its proper divisors (11694460212435).

14123100132141 is a wasteful number, since it uses less digits than its factorization.

14123100132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160663 (or 2160656 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 14123100 and 132141, that added together give a palindrome (14255241).

The spelling of 14123100132141 in words is "fourteen trillion, one hundred twenty-three billion, one hundred million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 311 429 539 637 933 1001 1617 1911 2177 3003 3421 4043 6531 7007 10263 12129 15239 21021 23947 28301 44473 45717 71841 84903 133419 167629 198107 311311 502887 594321 933933 2160311 2179177 6480933 6537531 15122177 23763421 28084043 45366531 71290263 84252129 105855239 166343947 196588301 308924473 317565717 499031841 589764903 671856721 926773419 1164407629 1376118107 2015570163 2162471311 3493222887 4128354321 4702997047 6487413933 7390423931 8734137373 14108991141 15137299177 22171271793 26202412119 32920979329 45411897531 51732967517 61138961611 96075511103 98762937987 155198902551 183416884833 288226533309 362130772619 427972731277 672528577721 1086392317857 1283918193831 2017585733163 4707700044047 14123100132141