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4022203211104 = 251341565741687
BaseRepresentation
bin111010100001111101111…
…111100101110101100000
3112020112000020221200122011
4322201331333211311200
51011344433010223404
612315435153522304
7563410642122031
oct72417577456540
915215006850564
104022203211104
111310896943811
1254b643873394
132323a4a8a480
14dc96609aa88
156e960379604
hex3a87dfe5d60

4022203211104 has 96 divisors (see below), whose sum is σ = 8737594358976. Its totient is φ = 1810759802880.

The previous prime is 4022203211087. The next prime is 4022203211107. The reversal of 4022203211104 is 4011123022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022203211107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96464949 + ... + 96506635.

It is an arithmetic number, because the mean of its divisors is an integer number (91016607906).

Almost surely, 24022203211104 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 4022203211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368797179488).

4022203211104 is an abundant number, since it is smaller than the sum of its proper divisors (4715391147872).

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

4022203211104 is a wasteful number, since it uses less digits than its factorization.

4022203211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47408 (or 47400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4022203211104 its reverse (4011123022204), we get a palindrome (8033326233308).

The spelling of 4022203211104 in words is "four trillion, twenty-two billion, two hundred three million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 5657 8528 11314 17056 22628 41687 45256 73541 83374 90512 147082 166748 181024 231937 294164 333496 463874 541931 588328 666992 927748 1083862 1176656 1333984 1709167 1855496 2167724 2353312 3015181 3418334 3710992 4335448 6030362 6836668 7421984 8670896 12060724 13673336 17341792 22219171 24121448 27346672 44438342 48242896 54693344 88876684 96485792 177753368 235823359 355506736 471646718 711013472 943293436 1886586872 3065703667 3773173744 6131407334 7546347488 9668757719 12262814668 19337515438 24525629336 38675030876 49051258672 77350061752 98102517344 125693850347 154700123504 251387700694 309400247008 502775401388 1005550802776 2011101605552 4022203211104