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200212220020100 = 225211317717895577
BaseRepresentation
bin101101100001011110001010…
…010000010000010110000100
3222020220002201212001002020212
4231201132022100100112010
5202220234111311120400
61545452120225014552
760112566311604341
oct5541361220202604
9866802655032225
10200212220020100
1158880586752512
121a556577484458
138793c151b9482
143762474a377c8
151822ea5245335
hexb6178a410584

200212220020100 has 36 divisors (see below), whose sum is σ = 438305300808564. Its totient is φ = 79376172180480.

The previous prime is 200212220020097. The next prime is 200212220020121. The reversal of 200212220020100 is 1020022212002.

It can be written as a sum of positive squares in 6 ways, for example, as 31249709940736 + 168962510079364 = 5590144^2 + 12998558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8858936489 + ... + 8858959088.

Almost surely, 2200212220020100 is an apocalyptic number.

200212220020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212220020100 is an abundant number, since it is smaller than the sum of its proper divisors (238093080788464).

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

200212220020100 is a wasteful number, since it uses less digits than its factorization.

200212220020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717895704 (or 17717895697 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200212220020100 its reverse (1020022212002), we get a palindrome (201232242232102).

The spelling of 200212220020100 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 17717895577 35435791154 70871582308 88589477885 177178955770 354357911540 442947389425 885894778850 1771789557700 2002122200201 4004244400402 8008488800804 10010611001005 20021222002010 40042444004020 50053055005025 100106110010050 200212220020100