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200212220011100 = 2252111091669826689
BaseRepresentation
bin101101100001011110001010…
…010000001110001001011100
3222020220002201212000121220112
4231201132022100032021130
5202220234111310323400
61545452120224505152
760112566311536163
oct5541361220161134
9866802655017815
10200212220011100
1158880586746780
121a55657747b1b8
138793c151b534b
143762474a343da
151822ea5242835
hexb6178a40e25c

200212220011100 has 72 divisors (see below), whose sum is σ = 478305157083600. Its totient is φ = 72136512921600.

The previous prime is 200212220011057. The next prime is 200212220011121. The reversal of 200212220011100 is 1110022212002.

It is a super-2 number, since 2×2002122200111002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834793445 + ... + 835033244.

Almost surely, 2200212220011100 is an apocalyptic number.

200212220011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212220011100 is an abundant number, since it is smaller than the sum of its proper divisors (278092937072500).

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

200212220011100 is a wasteful number, since it uses less digits than its factorization.

200212220011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669826823 (or 1669826816 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200212220011100 its reverse (1110022212002), we get a palindrome (201322242223102).

The spelling of 200212220011100 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 436 545 550 1090 1100 1199 2180 2398 2725 4796 5450 5995 10900 11990 23980 29975 59950 119900 1669826689 3339653378 6679306756 8349133445 16698266890 18368093579 33396533780 36736187158 41745667225 73472374316 83491334450 91840467895 166982668900 182011109101 183680935790 364022218202 367361871580 459202339475 728044436404 910055545505 918404678950 1820111091010 1836809357900 2002122200111 3640222182020 4004244400222 4550277727525 8008488800444 9100555455050 10010611000555 18201110910100 20021222001110 40042444002220 50053055002775 100106110005550 200212220011100