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13320003111120 = 243358217511167
BaseRepresentation
bin1100000111010100111000…
…0011011100100011010000
31202011101020220210212221000
43001311032003130203100
53221213331244023440
644155042553502000
72543224044226206
oct301651603344320
952141226725830
1013320003111120
114275a88560492
1215b160a111900
137580bca10a44
14340997a1d076
1518173cec8730
hexc1d4e0dc8d0

13320003111120 has 160 divisors (see below), whose sum is σ = 45935899914240. Its totient is φ = 3547673925120.

The previous prime is 13320003111113. The next prime is 13320003111167. The reversal of 13320003111120 is 2111130002331.

13320003111120 is a `hidden beast` number, since 1 + 3 + 320 + 0 + 0 + 311 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13320003111093 and 13320003111102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1982224 + ... + 5528943.

It is an arithmetic number, because the mean of its divisors is an integer number (287099374464).

Almost surely, 213320003111120 is an apocalyptic number.

13320003111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320003111120 is an abundant number, since it is smaller than the sum of its proper divisors (32615896803120).

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

13320003111120 is a wasteful number, since it uses less digits than its factorization.

13320003111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512010 (or 7511998 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13320003111120 its reverse (2111130002331), we get a palindrome (15431133113451).

The spelling of 13320003111120 in words is "thirteen trillion, three hundred twenty billion, three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 821 1080 1642 2160 2463 3284 4105 4926 6568 7389 8210 9852 12315 13136 14778 16420 19704 22167 24630 29556 32840 36945 39408 44334 49260 59112 65680 73890 88668 98520 110835 118224 147780 177336 197040 221670 295560 354672 443340 591120 886680 1773360 7511167 15022334 22533501 30044668 37555835 45067002 60089336 67600503 75111670 90134004 112667505 120178672 135201006 150223340 180268008 202801509 225335010 270402012 300446680 338002515 360536016 405603018 450670020 540804024 600893360 676005030 811206036 901340040 1014007545 1081608048 1352010060 1622412072 1802680080 2028015090 2704020120 3244824144 4056030180 5408040240 6166668107 8112060360 12333336214 16224120720 18500004321 24666672428 30833340535 37000008642 49333344856 55500012963 61666681070 74000017284 92500021605 98666689712 111000025926 123333362140 148000034568 166500038889 185000043210 222000051852 246666724280 277500064815 296000069136 333000077778 370000086420 444000103704 493333448560 555000129630 666000155556 740000172840 832500194445 888000207408 1110000259260 1332000311112 1480000345680 1665000388890 2220000518520 2664000622224 3330000777780 4440001037040 6660001555560 13320003111120