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12002023020300 = 22352113569362189
BaseRepresentation
bin1010111010100111000001…
…0100011001011100001100
31120111101022121202011221020
42232221300110121130030
53033120120343122200
641305353034234140
72346055214262615
oct256516024313414
946441277664836
1012002023020300
113908036114a05
12141a0a5285950
13690a2a867011
142d6c8854ac0c
1515c30082dea0
hexaea7051970c

12002023020300 has 144 divisors (see below), whose sum is σ = 35039878866720. Its totient is φ = 3171607900160.

The previous prime is 12002023020259. The next prime is 12002023020319. The reversal of 12002023020300 is 302032020021.

It is a super-2 number, since 2×120020230203002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12002023020300.

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, 192961606 + ... + 193023794.

It is an arithmetic number, because the mean of its divisors is an integer number (243332492130).

Almost surely, 212002023020300 is an apocalyptic number.

12002023020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002023020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519939433360).

12002023020300 is an abundant number, since it is smaller than the sum of its proper divisors (23037855846420).

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

12002023020300 is a wasteful number, since it uses less digits than its factorization.

12002023020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68012 (or 68005 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12002023020300 its reverse (302032020021), we get a palindrome (12304055040321).

The spelling of 12002023020300 in words is "twelve trillion, two billion, twenty-three million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 5693 6780 8475 11300 11386 16950 17079 22772 28465 33900 34158 56930 62189 68316 85395 113860 124378 142325 170790 186567 248756 284650 310945 341580 373134 426975 569300 621890 643309 746268 853950 932835 1243780 1286618 1554725 1707900 1865670 1929927 2573236 3109450 3216545 3731340 3859854 4664175 6218900 6433090 7027357 7719708 9328350 9649635 12866180 14054714 16082725 18656700 19299270 21082071 28109428 32165450 35136785 38598540 42164142 48248175 64330900 70273570 84328284 96496350 105410355 140547140 175683925 192992700 210820710 351367850 354041977 421641420 527051775 702735700 708083954 1054103550 1062125931 1416167908 1770209885 2108207100 2124251862 3540419770 4248503724 5310629655 7080839540 8851049425 10621259310 17702098850 21242518620 26553148275 35404197700 40006743401 53106296550 80013486802 106212593100 120020230203 160026973604 200033717005 240040460406 400067434010 480080920812 600101151015 800134868020 1000168585025 1200202302030 2000337170050 2400404604060 3000505755075 4000674340100 6001011510150 12002023020300