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13212214331400 = 23325271048588439
BaseRepresentation
bin1100000001000011010101…
…0101111000100000001000
31201210002000221012112112100
43000100311111320200020
53212432103332101100
644033335114113400
72532356662556130
oct300206525704010
951702027175470
1013212214331400
1142342a5603957
121594747a1b860
1374aba2673606
14339690397ac0
1517da300b7400
hexc0435578808

13212214331400 has 144 divisors (see below), whose sum is σ = 50709736958400. Its totient is φ = 3019934701440.

The previous prime is 13212214331399. The next prime is 13212214331417. The reversal of 13212214331400 is 413341221231.

13212214331400 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 221 + 4 + 3 + 31 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524281620 + ... + 524306819.

It is an arithmetic number, because the mean of its divisors is an integer number (352150951100).

Almost surely, 213212214331400 is an apocalyptic number.

13212214331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212214331400 is an abundant number, since it is smaller than the sum of its proper divisors (37497522627000).

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

13212214331400 is a wasteful number, since it uses less digits than its factorization.

13212214331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048588468 (or 1048588456 counting only the distinct ones).

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

Adding to 13212214331400 its reverse (413341221231), we get a palindrome (13625555552631).

The spelling of 13212214331400 in words is "thirteen trillion, two hundred twelve billion, two hundred fourteen million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 1048588439 2097176878 3145765317 4194353756 5242942195 6291530634 7340119073 8388707512 9437295951 10485884390 12583061268 14680238146 15728826585 18874591902 20971768780 22020357219 25166122536 26214710975 29360476292 31457653170 36700595365 37749183804 41943537560 44040714438 47186479755 52429421950 58720952584 62915306340 66061071657 73401190730 75498367608 78644132925 88081428876 94372959510 104858843900 110101786095 125830612680 132122143314 146802381460 157288265850 176162857752 183502976825 188745919020 209717687800 220203572190 235932398775 264244286628 293604762920 314576531700 330305358285 367005953650 377491838040 440407144380 471864797550 528488573256 550508930475 629153063400 660610716570 734011907300 880814288760 943729595100 1101017860950 1321221433140 1468023814600 1651526791425 1887459190200 2202035721900 2642442866280 3303053582850 4404071443800 6606107165700 13212214331400