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21200122012200 = 2335237954960451
BaseRepresentation
bin1001101001000000010011…
…01111011110001000101000
32210001201012221202110220120
410310200021233132020220
510234320322213342300
6113031111313523240
74315441533556425
oct464401157361050
983051187673816
1021200122012200
116833a1520a75a
122464885b73520
13baa216c4b4c1
1453413ca66d4c
1526b6e56233a0
hex134809bde228

21200122012200 has 96 divisors (see below), whose sum is σ = 67496604747360. Its totient is φ = 5500572192000.

The previous prime is 21200122012103. The next prime is 21200122012213. The reversal of 21200122012200 is 221022100212.

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 21200122012200.

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 23 ways as a sum of consecutive naturals, for example, 477458026 + ... + 477502425.

It is an arithmetic number, because the mean of its divisors is an integer number (703089632785).

Almost surely, 221200122012200 is an apocalyptic number.

21200122012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200122012200 is an abundant number, since it is smaller than the sum of its proper divisors (46296482735160).

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

21200122012200 is a wasteful number, since it uses less digits than its factorization.

21200122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954960507 (or 954960498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21200122012200 its reverse (221022100212), we get a palindrome (21421144112412).

The spelling of 21200122012200 in words is "twenty-one trillion, two hundred billion, one hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 954960451 1909920902 2864881353 3819841804 4774802255 5729762706 7639683608 9549604510 11459525412 14324406765 19099209020 22919050824 23874011275 28648813530 35333536687 38198418040 47748022550 57297627060 70667073374 71622033825 95496045100 106000610061 114595254120 141334146748 143244067650 176667683435 190992090200 212001220122 282668293496 286488135300 353335366870 424002440244 530003050305 572976270600 706670733740 848004880488 883338417175 1060006100610 1413341467480 1766676834350 2120012201220 2650015251525 3533353668700 4240024402440 5300030503050 7066707337400 10600061006100 21200122012200