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13123303340445 = 32513118119363727
BaseRepresentation
bin1011111011111000000111…
…0101010111100110011101
31201110120112120111012222100
42332332001311113212131
53210003011123343240
643524432355035313
72523061455611064
oct276760165274635
951416476435870
1013123303340445
1141aa61a680441
12157b47389bb39
137426a33543ac
14335257d771db
1517b57964ee30
hexbef81d5799d

13123303340445 has 96 divisors (see below), whose sum is σ = 23167114274304. Its totient is φ = 6871396147200.

The previous prime is 13123303340363. The next prime is 13123303340467. The reversal of 13123303340445 is 54404330332131.

13123303340445 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 303 + 340 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 13123303340445 - 27 = 13123303340317 is a prime.

It is a super-3 number, since 3×131233033404453 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205898172 + ... + 205961898.

It is an arithmetic number, because the mean of its divisors is an integer number (241324107024).

Almost surely, 213123303340445 is an apocalyptic number.

13123303340445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13123303340445 is a deficient number, since it is larger than the sum of its proper divisors (10043810933859).

13123303340445 is a wasteful number, since it uses less digits than its factorization.

13123303340445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64243 (or 64240 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 13123303340445 its reverse (54404330332131), we get a palindrome (67527633672576).

It can be divided in two parts, 1312330 and 3340445, that added together give a triangular number (4652775 = T3050).

The spelling of 13123303340445 in words is "thirteen trillion, one hundred twenty-three billion, three hundred three million, three hundred forty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 131 181 193 393 543 579 655 905 965 1179 1629 1737 1965 2715 2895 5895 8145 8685 23711 25283 34933 63727 71133 75849 104799 118555 126415 174665 191181 213399 227547 314397 318635 355665 379245 523995 573543 955905 1066995 1137735 1571985 2867715 4576223 8348237 11534587 12299311 13728669 22881115 25044711 34603761 36897933 41186007 41741185 57672935 61496555 68643345 75134133 103811283 110693799 125223555 173018805 184489665 205930035 375670665 519056415 553468995 1511030897 1611209741 2226175291 4533092691 4833629223 6678525873 7555154485 8056048705 11130876455 13599278073 14500887669 20035577619 22665463455 24168146115 33392629365 67996390365 72504438345 100177888095 291628963121 874886889363 1458144815605 2624660668089 4374434446815 13123303340445