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21122003230200 = 23325240032931413
BaseRepresentation
bin1001100110101110110010…
…11111111101110111111000
32202210020120201111011212100
410303113121133331313320
510232030330311331300
6112531151521143400
74310004634100415
oct463273137756770
982706521434770
1021122003230200
1168038781a05a4
12245170418ab60
13ba2a477a2342
1453044baa710c
152696723a2700
hex1335d97fddf8

21122003230200 has 144 divisors (see below), whose sum is σ = 70952472110520. Its totient is φ = 5631125195520.

The previous prime is 21122003230187. The next prime is 21122003230201. The reversal of 21122003230200 is 203230022112.

21122003230200 is a `hidden beast` number, since 2 + 11 + 220 + 0 + 3 + 230 + 200 = 666.

It is a super-2 number, since 2×211220032302002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122003230201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5739694 + ... + 8671106.

Almost surely, 221122003230200 is an apocalyptic number.

21122003230200 is a gapful number since it is divisible by the number (20) 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 21122003230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35476236055260).

21122003230200 is an abundant number, since it is smaller than the sum of its proper divisors (49830468880320).

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

21122003230200 is a wasteful number, since it uses less digits than its factorization.

21122003230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935438 (or 2935426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21122003230200 its reverse (203230022112), we get a palindrome (21325233252312).

The spelling of 21122003230200 in words is "twenty-one trillion, one hundred twenty-two billion, three million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 4003 8006 12009 16012 20015 24018 32024 36027 40030 48036 60045 72054 80060 96072 100075 120090 144108 160120 180135 200150 240180 288216 300225 360270 400300 480360 600450 720540 800600 900675 1200900 1441080 1801350 2401800 2931413 3602700 5862826 7205400 8794239 11725652 14657065 17588478 23451304 26382717 29314130 35176956 43971195 52765434 58628260 70353912 73285325 87942390 105530868 117256520 131913585 146570650 175884780 211061736 219855975 263827170 293141300 351769560 439711950 527654340 586282600 659567925 879423900 1055308680 1319135850 1758847800 2638271700 5276543400 11734446239 23468892478 35203338717 46937784956 58672231195 70406677434 93875569912 105610016151 117344462390 140813354868 176016693585 211220032302 234688924780 281626709736 293361155975 352033387170 422440064604 469377849560 528050080755 586722311950 704066774340 844880129208 880083467925 1056100161510 1173444623900 1408133548680 1760166935850 2112200323020 2346889247800 2640250403775 3520333871700 4224400646040 5280500807550 7040667743400 10561001615100 21122003230200