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201222122222010 = 235313718773115493
BaseRepresentation
bin101101110000001010101101…
…000111011011000110111010
3222101110122110200012111002210
4231300022231013123012322
5202333310401242101020
61551544100010035550
760245550525643611
oct5560125507330672
9871418420174083
10201222122222010
115912a90616524a
121a69a241718bb6
13883821ab1cc86
1437992ba226878
15183e3b0e9c3e0
hexb702ad1db1ba

201222122222010 has 128 divisors (see below), whose sum is σ = 512257798232064. Its totient is φ = 50497888250880.

The previous prime is 201222122221963. The next prime is 201222122222071. The reversal of 201222122222010 is 10222221222102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63029824 + ... + 66145316.

It is an arithmetic number, because the mean of its divisors is an integer number (4002014048688).

Almost surely, 2201222122222010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222122222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256128899116032).

201222122222010 is an abundant number, since it is smaller than the sum of its proper divisors (311035676010054).

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

201222122222010 is a wasteful number, since it uses less digits than its factorization.

201222122222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117448.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 201222122222010 its reverse (10222221222102), we get a palindrome (211444343444112).

The spelling of 201222122222010 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 1877 2294 3441 3754 5631 5735 6882 9385 11262 11470 17205 18770 28155 34410 56310 58187 69449 116374 138898 174561 208347 290935 347245 349122 416694 581870 694490 872805 1041735 1745610 2083470 2152919 3115493 4305838 6230986 6458757 9346479 10764595 12917514 15577465 18692958 21529190 31154930 32293785 46732395 64587570 93464790 96580283 115273241 193160566 230546482 289740849 345819723 482901415 576366205 579481698 691639446 965802830 1152732410 1448704245 1729098615 2897408490 3458197230 3573470471 5847780361 7146940942 10720411413 11695560722 17543341083 17867352355 21440822826 29238901805 35086682166 35734704710 53602057065 58477803610 87716705415 107204114130 175433410830 181281191191 216367873357 362562382382 432735746714 543843573573 649103620071 906405955955 1081839366785 1087687147146 1298207240142 1812811911910 2163678733570 2719217867865 3245518100355 5438435735730 6491036200710 6707404074067 13414808148134 20122212222201 33537020370335 40244424444402 67074040740670 100611061111005 201222122222010