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13110305213824 = 27713286580101
BaseRepresentation
bin1011111011000111101100…
…0101011100110110000000
31201102022222201012222022021
42332301323011130312000
53204244401113320244
643514442512051224
72522121404425150
oct276617305346600
951368881188267
1013110305213824
1141a505a565535
121578a46833b14
137413b148a300
14334783978760
1517b06846d284
hexbec7b15cd80

13110305213824 has 96 divisors (see below), whose sum is σ = 32322083678640. Its totient is φ = 5186494310400.

The previous prime is 13110305213779. The next prime is 13110305213867. The reversal of 13110305213824 is 42831250301131.

It is a self number, because there is not a number n which added to its sum of digits gives 13110305213824.

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 11 ways as a sum of consecutive naturals, for example, 43138627 + ... + 43441474.

Almost surely, 213110305213824 is an apocalyptic number.

13110305213824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13110305213824 is an abundant number, since it is smaller than the sum of its proper divisors (19211778464816).

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

13110305213824 is an equidigital number, since it uses as much as digits as its factorization.

13110305213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86580148 (or 86580123 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 13110305213824 its reverse (42831250301131), we get a palindrome (55941555514955).

The spelling of 13110305213824 in words is "thirteen trillion, one hundred ten billion, three hundred five million, two hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 1183 1352 1456 1664 2366 2704 2912 4732 5408 5824 9464 10816 11648 18928 21632 37856 75712 151424 86580101 173160202 346320404 606060707 692640808 1125541313 1212121414 1385281616 2251082626 2424242828 2770563232 4502165252 4848485656 5541126464 7878789191 9004330504 9696971312 11082252928 14632037069 15757578382 18008661008 19393942624 29264074138 31515156764 36017322016 38787885248 58528148276 63030313528 72034644032 77575770496 102424259483 117056296552 126060627056 144069288064 204848518966 234112593104 252121254112 409697037932 468225186208 504242508224 819394075864 936450372416 1008485016448 1638788151728 1872900744832 3277576303456 6555152606912 13110305213824