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14222003101200 = 243452438950713
BaseRepresentation
bin1100111011110101000101…
…1100010101111000010000
31212100121110211220222210000
43032331101130111320100
53331003130243214300
650125255324010000
72665335331520466
oct316752134257020
955317424828700
1014222003101200
114593576a90444
1217183a0090900
137c218a93c81b
143724c489a836
15199e30db4c00
hexcef51715e10

14222003101200 has 150 divisors (see below), whose sum is σ = 51041627974634. Its totient is φ = 3792534151680.

The previous prime is 14222003101199. The next prime is 14222003101237. The reversal of 14222003101200 is 210130022241.

It is a happy number.

14222003101200 is a `hidden beast` number, since 1 + 422 + 200 + 31 + 0 + 12 + 0 + 0 = 666.

14222003101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2047039839504 + 12174963261696 = 1430748^2 + 3489264^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 219442957 + ... + 219507756.

Almost surely, 214222003101200 is an apocalyptic number.

14222003101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222003101200 is an abundant number, since it is smaller than the sum of its proper divisors (36819624873434).

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

14222003101200 is a wasteful number, since it uses less digits than its factorization.

14222003101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438950743 (or 438950723 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14222003101200 its reverse (210130022241), we get a palindrome (14432133123441).

The spelling of 14222003101200 in words is "fourteen trillion, two hundred twenty-two billion, three million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3240 3600 4050 5400 6480 8100 10800 16200 32400 438950713 877901426 1316852139 1755802852 2194753565 2633704278 3511605704 3950556417 4389507130 5267408556 6584260695 7023211408 7901112834 8779014260 10534817112 10973767825 11851669251 13168521390 15802225668 17558028520 19752782085 21069634224 21947535650 23703338502 26337042780 31604451336 32921303475 35116057040 35555007753 39505564170 43895071300 47406677004 52674085560 59258346255 63208902672 65842606950 71110015506 79011128340 87790142600 94813354008 98763910425 105348171120 118516692510 131685213900 142220031012 158022256680 175580285200 177775038765 189626708016 197527820850 237033385020 263370427800 284440062024 296291731275 316044513360 355550077530 395055641700 474066770040 526740855600 568880124048 592583462550 711100155060 790111283400 888875193825 948133540080 1185166925100 1422200310120 1580222566800 1777750387650 2370333850200 2844400620240 3555500775300 4740667700400 7111001550600 14222003101200