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200220212120200 = 235233131519319889
BaseRepresentation
bin101101100001100101100110…
…100111101100101010001000
3222020220212100211120211112021
4231201211212213230222020
5202220401443300321300
61545455521243254224
760113301335412616
oct5541454647545210
9866825324524467
10200220212120200
1158883a08014618
121a558027b1a374
1387948b9bc489c
1437629d22466b6
1518232c1bced1a
hexb619669eca88

200220212120200 has 96 divisors (see below), whose sum is σ = 465706567146600. Its totient is φ = 80054615900160.

The previous prime is 200220212120191. The next prime is 200220212120209. The reversal of 200220212120200 is 2021212022002.

It is an interprime number because it is at equal distance from previous prime (200220212120191) and next prime (200220212120209).

It can be written as a sum of positive squares in 12 ways, for example, as 159618006536004 + 40602205584196 = 12634002^2 + 6371986^2 .

It is not an unprimeable number, because it can be changed into a prime (200220212120209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10066871856 + ... + 10066891744.

Almost surely, 2200220212120200 is an apocalyptic number.

200220212120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200220212120200 is an abundant number, since it is smaller than the sum of its proper divisors (265486355026400).

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

200220212120200 is a wasteful number, since it uses less digits than its factorization.

200220212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38411 (or 38402 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200220212120200 its reverse (2021212022002), we get a palindrome (202241424142202).

The spelling of 200220212120200 in words is "two hundred trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3313 6626 13252 15193 16565 19889 26504 30386 33130 39778 60772 66260 75965 79556 82825 99445 121544 132520 151930 159112 165650 198890 303860 331300 379825 397780 497225 607720 662600 759650 795560 994450 1519300 1988900 3038600 3977800 50334409 65892257 100668818 131784514 201337636 251672045 263569028 302173577 329461285 402675272 503344090 527138056 604347154 658922570 1006688180 1208694308 1258360225 1317845140 1510867885 1647306425 2013376360 2417388616 2516720450 2635690280 3021735770 3294612850 5033440900 6043471540 6589225700 7554339425 10066881800 12086943080 13178451400 15108678850 30217357700 60434715400 1001101060601 2002202121202 4004404242404 5005505303005 8008808484808 10011010606010 20022021212020 25027526515025 40044042424040 50055053030050 100110106060100 200220212120200