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22010120000 = 26541150023
BaseRepresentation
bin10100011111111001…
…111100011101000000
32002210220220221111122
4110133321330131000
5330034042320000
614040013131412
71406300635031
oct243771743500
962726827448
1022010120000
119375158a20
124323189b68
1320c9c8635b
1410cb256a88
1588c47c085
hex51fe7c740

22010120000 has 140 divisors (see below), whose sum is σ = 59540765856. Its totient is φ = 8003520000.

The previous prime is 22010119981. The next prime is 22010120003. The reversal of 22010120000 is 2101022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22010120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414989 + ... + 465011.

Almost surely, 222010120000 is an apocalyptic number.

22010120000 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 22010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29770382928).

22010120000 is an abundant number, since it is smaller than the sum of its proper divisors (37530645856).

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

22010120000 is an equidigital number, since it uses as much as digits as its factorization.

22010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50066 (or 50041 counting only the distinct ones).

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

Adding to 22010120000 its reverse (2101022), we get a palindrome (22012221022).

The spelling of 22010120000 in words is "twenty-two billion, ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 50023 55000 88000 100046 110000 200092 220000 250115 400184 440000 500230 550253 800368 1000460 1100506 1250575 1600736 2000920 2201012 2501150 2751265 3201472 4001840 4402024 5002300 5502530 6252875 8003680 8804048 10004600 11005060 12505750 13756325 16007360 17608096 20009200 22010120 25011500 27512650 31264375 35216192 40018400 44020240 50023000 55025300 62528750 68781625 80036800 88040480 100046000 110050600 125057500 137563250 176080960 200092000 220101200 250115000 275126500 343908125 400184000 440202400 500230000 550253000 687816250 880404800 1000460000 1100506000 1375632500 2000920000 2201012000 2751265000 4402024000 5502530000 11005060000 22010120000