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401222303222104 = 2371310152791033667
BaseRepresentation
bin101101100111010001101100…
…0110111000000100101011000
31221121121110220011102022010101
41123032203120313000211120
5410042111234111101404
63541154552003025144
7150340232462613460
oct13316433067004530
91847543804368111
10401222303222104
11106929472363651
1238bbb6a166b1b4
13142b5140742cb0
147111397cc4ba0
15315baa5d912a4
hex16ce8d8dc0958

401222303222104 has 128 divisors (see below), whose sum is σ = 935242959974400. Its totient is φ = 157123847462400.

The previous prime is 401222303222053. The next prime is 401222303222113.

401222303222104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387637479 + ... + 388671145.

It is an arithmetic number, because the mean of its divisors is an integer number (7306585624800).

Almost surely, 2401222303222104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401222303222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467621479987200).

401222303222104 is an abundant number, since it is smaller than the sum of its proper divisors (534020656752296).

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

401222303222104 is a wasteful number, since it uses less digits than its factorization.

401222303222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039073 (or 1039069 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 40122230 and 3222104, that added together give a palindrome (43344334).

The spelling of 401222303222104 in words is "four hundred one trillion, two hundred twenty-two billion, three hundred three million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 728 808 1313 1414 2626 2828 5252 5279 5656 9191 10504 10558 18382 21116 36764 36953 42232 68627 73528 73906 137254 147812 274508 295624 480389 533179 549016 960778 1033667 1066358 1921556 2067334 2132716 3732253 3843112 4134668 4265432 6931327 7235669 7464506 8269336 13437671 13862654 14471338 14929012 26875342 27725308 28942676 29858024 48519289 53750684 55450616 57885352 94063697 97038578 104400367 107501368 188127394 194077156 208800734 376254788 388154312 417601468 730802569 752509576 835202936 1357204771 1461605138 2714409542 2923210276 5428819084 5456728093 5846420552 9500433397 10857638168 10913456186 19000866794 21826912372 38001733588 38197096651 43653824744 70937465209 76003467176 76394193302 141874930418 152788386604 283749860836 305576773208 496562256463 551129537393 567499721672 993124512926 1102259074786 1986249025852 2204518149572 3857906761751 3972498051704 4409036299144 7164683986109 7715813523502 14329367972218 15431627047004 28658735944436 30863254094008 50152787902763 57317471888872 100305575805526 200611151611052 401222303222104