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21222312022002 = 2371379846758109
BaseRepresentation
bin1001101001101001101000…
…10111101000111111110010
32210010211111102011202211110
410310310310113220333302
510240201243334201002
6113045221234454150
74320155450543520
oct464646427507762
983124442152743
1021222312022002
116842371965533
122469039434356
13bac34226a510
14535245b49310
1526c093785e6c
hex134d345e8ff2

21222312022002 has 128 divisors (see below), whose sum is σ = 52907955609600. Its totient is φ = 5525496228096.

The previous prime is 21222312021971. The next prime is 21222312022007. The reversal of 21222312022002 is 20022021322212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21222312022002.

It is not an unprimeable number, because it can be changed into a prime (21222312022007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365186524 + ... + 365244632.

It is an arithmetic number, because the mean of its divisors is an integer number (413343403200).

Almost surely, 221222312022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222312022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26453977804800).

21222312022002 is an abundant number, since it is smaller than the sum of its proper divisors (31685643587598).

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

21222312022002 is a wasteful number, since it uses less digits than its factorization.

21222312022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66680.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21222312022002 its reverse (20022021322212), we get a palindrome (41244333344214).

The spelling of 21222312022002 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred twelve million, twenty-two thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 158 182 237 273 474 546 553 1027 1106 1659 2054 3081 3318 6162 7189 8467 14378 16934 21567 25401 43134 50802 58109 59269 110071 116218 118538 174327 177807 220142 330213 348654 355614 406763 660426 668893 755417 770497 813526 1220289 1337786 1510834 1540994 2006679 2266251 2311491 2440578 4013358 4532502 4590611 4622982 4682251 5287919 8695609 9181222 9364502 10575838 13771833 14046753 15863757 17391218 26086827 27543666 28093506 31727514 32134277 52173654 59677943 60869263 64268554 96402831 119355886 121738526 179033829 182607789 192805662 358067658 365215578 417745601 492008903 835491202 984017806 1253236803 1476026709 2506473606 2952053418 3444062321 6396115739 6888124642 10332186963 12792231478 19188347217 20664373926 38376694434 38868703337 44772810173 77737406674 89545620346 116606110011 134318430519 233212220022 268636861038 272080923359 505293143381 544161846718 816242770077 1010586286762 1515879430143 1632485540154 3031758860286 3537052003667 7074104007334 10611156011001 21222312022002