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13124341205325 = 3252789241388499
BaseRepresentation
bin1011111011111011111110…
…1100100000100101001101
31201110200012220102012221100
42332332333230200211031
53210012122322032300
643525123352053313
72523126260405160
oct276767754404515
951420186365840
1013124341205325
114200002506709
12157b703394239
1374280a38b31c
14335315b3dad7
1517b5da810700
hexbefbfb2094d

13124341205325 has 144 divisors (see below), whose sum is σ = 27279972720000. Its totient is φ = 5907655987200.

The previous prime is 13124341205267. The next prime is 13124341205329. The reversal of 13124341205325 is 52350214342131.

13124341205325 is a `hidden beast` number, since 1 + 3 + 12 + 434 + 1 + 205 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 13124341205325 - 28 = 13124341205069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13124341205325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124341205329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33587926 + ... + 33976424.

It is an arithmetic number, because the mean of its divisors is an integer number (189444255000).

Almost surely, 213124341205325 is an apocalyptic number.

13124341205325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13124341205325 is an abundant number, since it is smaller than the sum of its proper divisors (14155631514675).

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

13124341205325 is a wasteful number, since it uses less digits than its factorization.

13124341205325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388852 (or 388844 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13124341205325 its reverse (52350214342131), we get a palindrome (65474555547456).

The spelling of 13124341205325 in words is "thirteen trillion, one hundred twenty-four billion, three hundred forty-one million, two hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 89 105 175 225 241 267 315 445 525 623 723 801 1205 1335 1575 1687 1869 2169 2225 3115 3615 4005 5061 5607 6025 6675 8435 9345 10845 15183 15575 18075 20025 21449 25305 28035 42175 46725 54225 64347 75915 107245 126525 140175 150143 193041 321735 379575 388499 450429 536225 750715 965205 1165497 1351287 1608675 1942495 2252145 2719493 3496491 3753575 4826025 5827485 6756435 8158479 9712475 11260725 13597465 17482455 24475437 29137425 33782175 34576411 40792395 67987325 87412275 93628259 103729233 122377185 172882055 203961975 242034877 280884777 311187699 468141295 518646165 611885925 655397813 726104631 842654331 864410275 1210174385 1404423885 1555938495 1966193439 2178313893 2340706475 2593230825 3276989065 3630523155 4213271655 5898580317 6050871925 7022119425 7779692475 8332915051 9830967195 10891569465 16384945325 18152615775 21066358275 24998745153 29492901585 41664575255 49154835975 54457847325 58330405357 74996235459 124993725765 147464507925 174991216071 208322876275 291652026785 374981177295 524973648213 624968628825 874956080355 1458260133925 1874905886475 2624868241065 4374780401775 13124341205325