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12303200212100 = 22527151367317159
BaseRepresentation
bin1011001100001000111111…
…1000001101010010000100
31121120011201011202202020122
42303002033320031102010
53103033423223241400
642100002342521112
72406606525210320
oct263021770152204
947504634682218
1012303200212100
113a13837859896
121468538a36198
136b3257532705
14307699b62980
1516507b520685
hexb308fe0d484

12303200212100 has 144 divisors (see below), whose sum is σ = 30797788815360. Its totient is φ = 4178873808000.

The previous prime is 12303200212097. The next prime is 12303200212103. The reversal of 12303200212100 is 121200230321.

It is an interprime number because it is at equal distance from previous prime (12303200212097) and next prime (12303200212103).

It is not an unprimeable number, because it can be changed into a prime (12303200212103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38633321 + ... + 38950479.

It is an arithmetic number, because the mean of its divisors is an integer number (213873533440).

Almost surely, 212303200212100 is an apocalyptic number.

12303200212100 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 12303200212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398894407680).

12303200212100 is an abundant number, since it is smaller than the sum of its proper divisors (18494588603260).

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

12303200212100 is a wasteful number, since it uses less digits than its factorization.

12303200212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317698 (or 317691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12303200212100 its reverse (121200230321), we get a palindrome (12424400442421).

The spelling of 12303200212100 in words is "twelve trillion, three hundred three billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 367 604 700 734 755 1057 1468 1510 1835 2114 2569 3020 3670 3775 4228 5138 5285 7340 7550 9175 10276 10570 12845 15100 18350 21140 25690 26425 36700 51380 52850 55417 64225 105700 110834 128450 221668 256900 277085 317159 387919 554170 634318 775838 1108340 1268636 1385425 1551676 1585795 1939595 2220113 2770850 3171590 3879190 4440226 5541700 6343180 7758380 7928975 8880452 9697975 11100565 15857950 19395950 22201130 31715900 38791900 44402260 47891009 55502825 95782018 111005650 116397353 191564036 222011300 232794706 239455045 335237063 465589412 478910090 581986765 670474126 814781471 957820180 1163973530 1197275225 1340948252 1629562942 1676185315 2327947060 2394550450 2909933825 3259125884 3352370630 4073907355 4789100900 5819867650 6704741260 8147814710 8380926575 11639735300 16295629420 16761853150 17576000303 20369536775 33523706300 35152000606 40739073550 70304001212 81478147100 87880001515 123032002121 175760003030 246064004242 351520006060 439400007575 492128008484 615160010605 878800015150 1230320021210 1757600030300 2460640042420 3075800053025 6151600106050 12303200212100