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12002200010100 = 22335217261485839
BaseRepresentation
bin1010111010100111101011…
…0111100011110101110100
31120111101202221210012022000
42232221322313203311310
53033121001200310400
641305422355535300
72346062463543066
oct256517267436564
946441687705260
1012002200010100
113908117010a73
12141a1345ba530
13690a58425a01
142d6ca3c5d736
1515c311140600
hexaea7ade3d74

12002200010100 has 144 divisors (see below), whose sum is σ = 40854547641600. Its totient is φ = 3012316853760.

The previous prime is 12002200010093. The next prime is 12002200010123. The reversal of 12002200010100 is 101000220021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130697020 + ... + 130788819.

It is an arithmetic number, because the mean of its divisors is an integer number (283712136400).

Almost surely, 212002200010100 is an apocalyptic number.

12002200010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002200010100 is an abundant number, since it is smaller than the sum of its proper divisors (28852347631500).

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

12002200010100 is a wasteful number, since it uses less digits than its factorization.

12002200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261485879 (or 261485866 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12002200010100 its reverse (101000220021), we get a palindrome (12103200230121).

The spelling of 12002200010100 in words is "twelve trillion, two billion, two hundred million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 261485839 522971678 784457517 1045943356 1307429195 1568915034 2353372551 2614858390 3137830068 3922287585 4445259263 4706745102 5229716780 6537145975 7060117653 7844575170 8890518526 9413490204 11766862755 13074291950 13335777789 14120235306 15689150340 17781037052 19611437925 22226296315 23533725510 26148583900 26671555578 28240470612 35300588265 39222875850 40007333367 44452592630 47067451020 53343111156 58834313775 66678888945 70601176530 78445751700 80014666734 88905185260 111131481575 117668627550 120022000101 133357777890 141202353060 160029333468 176502941325 200036666835 222262963150 235337255100 240044000202 266715555780 333394444725 353005882650 400073333670 444525926300 480088000404 600110000505 666788889450 706011765300 800146667340 1000183334175 1200220001010 1333577778900 2000366668350 2400440002020 3000550002525 4000733336700 6001100005050 12002200010100