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13312020203280 = 24325139133013791
BaseRepresentation
bin1100000110110111001000…
…1111000100011100010000
31202010121122120120011001200
43001231302033010130100
53221101004133001110
644151242504231200
72542522161514341
oct301556217043420
952117576504050
1013312020203280
1142726613a7697
1215abb6076b500
13757419ba3636
1434043b7240c8
151814222576c0
hexc1b723c4710

13312020203280 has 120 divisors (see below), whose sum is σ = 45027828867840. Its totient is φ = 3524333379840.

The previous prime is 13312020203257. The next prime is 13312020203281. The reversal of 13312020203280 is 8230202021331.

It is a happy number.

13312020203280 is a `hidden beast` number, since 1 + 3 + 312 + 0 + 2 + 0 + 20 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (13312020203281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66406816 + ... + 66606975.

It is an arithmetic number, because the mean of its divisors is an integer number (375231907232).

Almost surely, 213312020203280 is an apocalyptic number.

13312020203280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312020203280 is an abundant number, since it is smaller than the sum of its proper divisors (31715808664560).

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

13312020203280 is a wasteful number, since it uses less digits than its factorization.

13312020203280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133013949 (or 133013940 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13312020203280 in words is "thirteen trillion, three hundred twelve billion, twenty million, two hundred three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1251 1390 1668 2085 2224 2502 2780 3336 4170 5004 5560 6255 6672 8340 10008 11120 12510 16680 20016 25020 33360 50040 100080 133013791 266027582 399041373 532055164 665068955 798082746 1064110328 1197124119 1330137910 1596165492 1995206865 2128220656 2394248238 2660275820 3192330984 3990413730 4788496476 5320551640 5985620595 6384661968 7980827460 9576992952 10641103280 11971241190 15961654920 18488916949 19153985904 23942482380 31923309840 36977833898 47884964760 55466750847 73955667796 92444584745 95769929520 110933501694 147911335592 166400252541 184889169490 221867003388 277333754235 295822671184 332800505082 369778338980 443734006776 554667508470 665601010164 739556677960 832001262705 887468013552 1109335016940 1331202020328 1479113355920 1664002525410 2218670033880 2662404040656 3328005050820 4437340067760 6656010101640 13312020203280