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20012200200 = 2334521235321
BaseRepresentation
bin10010101000110100…
…011111000100001000
31220122200111002210000
4102220310133010020
5311441110401300
613105442523000
71305630615666
oct225064370410
956580432700
1020012200200
11853a402233
123a66066460
131b6c089aa5
14d7bb7dc36
157c1d7ac00
hex4a8d1f108

20012200200 has 120 divisors (see below), whose sum is σ = 69505392330. Its totient is φ = 5336582400.

The previous prime is 20012200193. The next prime is 20012200207. The reversal of 20012200200 is 200221002.

It is an interprime number because it is at equal distance from previous prime (20012200193) and next prime (20012200207).

It can be written as a sum of positive squares in 3 ways, for example, as 7833312036 + 12178888164 = 88506^2 + 110358^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (20012200207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 601461 + ... + 633860.

Almost surely, 220012200200 is an apocalyptic number.

20012200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012200200 is an abundant number, since it is smaller than the sum of its proper divisors (49493192130).

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

20012200200 is a wasteful number, since it uses less digits than its factorization.

20012200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235349 (or 1235331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20012200200 its reverse (200221002), we get a palindrome (20212421202).

The spelling of 20012200200 in words is "twenty billion, twelve million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 1235321 2470642 3705963 4941284 6176605 7411926 9882568 11117889 12353210 14823852 18529815 22235778 24706420 29647704 30883025 33353667 37059630 44471556 49412840 55589445 61766050 66707334 74119260 88943112 92649075 100061001 111178890 123532100 133414668 148238520 166768335 185298150 200122002 222357780 247064200 266829336 277947225 333536670 370596300 400244004 444715560 500305005 555894450 667073340 741192600 800488008 833841675 1000610010 1111788900 1334146680 1667683350 2001220020 2223577800 2501525025 3335366700 4002440040 5003050050 6670733400 10006100100 20012200200