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22012100000 = 25551120011
BaseRepresentation
bin10100100000000001…
…011111110110100000
32002211001122112112222
4110200001133312200
5330040044200000
614040123410212
71406323522442
oct244001376640
962731575488
1022012100000
119376290590
124323983968
1320ca4ca657
1410cb610492
1588c71da85
hex52005fda0

22012100000 has 144 divisors (see below), whose sum is σ = 59094155232. Its totient is φ = 8004000000.

The previous prime is 22012099997. The next prime is 22012100023. The reversal of 22012100000 is 121022.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1089995 + ... + 1110005.

It is an arithmetic number, because the mean of its divisors is an integer number (410376078).

Almost surely, 222012100000 is an apocalyptic number.

22012100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29547077616).

22012100000 is an abundant number, since it is smaller than the sum of its proper divisors (37082055232).

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

22012100000 is an equidigital number, since it uses as much as digits as its factorization.

22012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20057 (or 20029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22012100000 its reverse (121022), we get a palindrome (22012221022).

The spelling of 22012100000 in words is "twenty-two billion, twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 20011 22000 25000 27500 34375 40022 44000 50000 55000 68750 80044 100000 100055 110000 137500 160088 200110 220000 220121 275000 320176 400220 440242 500275 550000 640352 800440 880484 1000550 1100000 1100605 1600880 1760968 2001100 2201210 2501375 3201760 3521936 4002200 4402420 5002750 5503025 7043872 8004400 8804840 10005500 11006050 12506875 16008800 17609680 20011000 22012100 25013750 27515125 35219360 40022000 44024200 50027500 55030250 62534375 80044000 88048400 100055000 110060500 125068750 137575625 176096800 200110000 220121000 250137500 275151250 400220000 440242000 500275000 550302500 687878125 880484000 1000550000 1100605000 1375756250 2001100000 2201210000 2751512500 4402420000 5503025000 11006050000 22012100000