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200212122002200 = 235271113000787143
BaseRepresentation
bin101101100001011110000100…
…011010010110001100011000
3222020220002111000121020222021
4231201132010122112030120
5202220233411213032300
61545452102404104224
760112564011506020
oct5541360432261430
9866802430536867
10200212122002200
1158880536395190
121a55654a695074
138793bcaabac09
143762465a00a80
151822e9b832d1a
hexb61784696318

200212122002200 has 96 divisors (see below), whose sum is σ = 580355138108160. Its totient is φ = 62403778281600.

The previous prime is 200212122002159. The next prime is 200212122002209. The reversal of 200212122002200 is 2200221212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212122002209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6500378172 + ... + 6500408971.

It is an arithmetic number, because the mean of its divisors is an integer number (6045366021960).

Almost surely, 2200212122002200 is an apocalyptic number.

200212122002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212122002200 is an abundant number, since it is smaller than the sum of its proper divisors (380143016105960).

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

200212122002200 is a wasteful number, since it uses less digits than its factorization.

200212122002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000787177 (or 13000787168 counting only the distinct ones).

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

Adding to 200212122002200 its reverse (2200221212002), we get a palindrome (202412343214202).

The spelling of 200212122002200 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty-two million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 13000787143 26001574286 52003148572 65003935715 91005510001 104006297144 130007871430 143008658573 182011020002 260015742860 286017317146 325019678575 364022040004 455027550005 520031485720 572034634292 650039357150 715043292865 728044080008 910055100010 1001060610011 1144069268584 1300078714300 1430086585730 1820110200020 2002121220022 2275137750025 2600157428600 2860173171460 3575216464325 3640220400040 4004242440044 4550275500050 5005303050055 5720346342920 7150432928650 8008484880088 9100551000100 10010606100110 14300865857300 18201102000200 20021212200220 25026515250275 28601731714600 40042424400440 50053030500550 100106061001100 200212122002200