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13044012024303 = 32131779599138587
BaseRepresentation
bin1011110111010000101110…
…1101000000000111101111
31201011222212121220000110200
42331310023231000013233
53202203114034234203
643424200355004543
72514253530546141
oct275641355000757
951158777800420
1013044012024303
114179a30804aa7
121568025299753
13738077cac450
14331495396c91
151794884bb9a3
hexbdd0bb401ef

13044012024303 has 96 divisors (see below), whose sum is σ = 21792685824000. Its totient is φ = 7446764602368.

The previous prime is 13044012024259. The next prime is 13044012024341. The reversal of 13044012024303 is 30342021044031.

13044012024303 is a `hidden beast` number, since 1 + 304 + 40 + 12 + 0 + 2 + 4 + 303 = 666.

It is not a de Polignac number, because 13044012024303 - 228 = 13043743588847 is a prime.

It is a super-2 number, since 2×130440120243032 (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 (13044012024503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94052176 + ... + 94190762.

It is an arithmetic number, because the mean of its divisors is an integer number (227007144000).

Almost surely, 213044012024303 is an apocalyptic number.

13044012024303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13044012024303 is a deficient number, since it is larger than the sum of its proper divisors (8748673799697).

13044012024303 is a wasteful number, since it uses less digits than its factorization.

13044012024303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139301 (or 139298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13044012024303 its reverse (30342021044031), we get a palindrome (43386033068334).

The spelling of 13044012024303 in words is "thirteen trillion, forty-four billion, twelve million, twenty-four thousand, three hundred three".

Divisors: 1 3 9 13 17 39 51 79 117 153 221 237 599 663 711 1027 1343 1797 1989 3081 4029 5391 7787 9243 10183 12087 17459 23361 30549 47321 52377 70083 91647 132379 138587 141963 157131 397137 415761 425889 615173 804457 1191411 1247283 1801631 1845519 2355979 2413371 5404893 5536557 7067937 7240113 10457941 10948373 16214679 21203811 30627727 31373823 32845119 83013613 91883181 94121469 98535357 142328849 186122341 249040839 275649543 426986547 558367023 747122517 1079176969 1280959641 1411231421 1675101069 2419590433 3237530907 4233694263 6558075427 7258771299 9712592721 12701082789 18346008473 19674226281 21776313897 55038025419 59022678843 85254980551 111487282259 165114076257 255764941653 334461846777 767294824959 1003385540331 1449334669367 4348004008101 13044012024303