Search a number
-
+
13024003021014 = 231071671973791627
BaseRepresentation
bin1011110110000110001100…
…0100101101100011010110
31201010002020011102100000210
42331201203010231203112
53201341124233133024
643411051104350250
72512644636043446
oct275414304554326
951102204370023
1013024003021014
1141714a3196747
121564180315386
137362097a182b
14330517c0a126
15178bb6a73129
hexbd86312d8d6

13024003021014 has 128 divisors (see below), whose sum is σ = 26669659484160. Its totient is φ = 4239477760896.

The previous prime is 13024003020989. The next prime is 13024003021019. The reversal of 13024003021014 is 41012030042031.

13024003021014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024003021019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8004918069 + ... + 8004919695.

It is an arithmetic number, because the mean of its divisors is an integer number (208356714720).

Almost surely, 213024003021014 is an apocalyptic number.

13024003021014 is an abundant number, since it is smaller than the sum of its proper divisors (13645656463146).

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

13024003021014 is a wasteful number, since it uses less digits than its factorization.

13024003021014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13024003021014 its reverse (41012030042031), we get a palindrome (54036033063045).

The spelling of 13024003021014 in words is "thirteen trillion, twenty-four billion, three million, twenty-one thousand, fourteen".

Divisors: 1 2 3 6 107 167 197 214 321 334 379 394 501 591 642 758 1002 1137 1182 1627 2274 3254 4881 9762 17869 21079 32899 35738 40553 42158 53607 63237 63293 65798 74663 81106 98697 107214 121659 126474 126586 149326 174089 189879 197394 223989 243318 271709 320519 348178 379758 447978 522267 543418 616633 641038 815127 961557 1044534 1233266 1630254 1849899 1923114 3520193 3699798 6772351 7040386 7988941 10560579 12468721 13544702 15977882 20317053 21121158 23966823 24937442 29072863 34295533 37406163 40634106 47933646 53526673 58145726 65979731 68591066 74812326 87218589 102886599 102977711 107053346 121476701 131959462 160580019 174437178 197939193 205773198 205955422 242953402 308933133 321160038 364430103 395878386 617866266 728860206 1334153147 2668306294 4002459441 5727354011 8004918882 11018615077 11454708022 12998007007 17182062033 20286609067 22037230154 25996014014 33055845231 34364124066 38994021021 40573218134 60859827201 66111690462 77988042042 121719654402 2170667170169 4341334340338 6512001510507 13024003021014