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42221303322 = 23113730375693
BaseRepresentation
bin100111010100100101…
…011111011000011010
311000222110211102210220
4213110211133120122
51142432123201242
631221325020510
73023166104532
oct472445373032
9130873742726
1042221303322
11169a6909110
1282239b4736
133c9b332623
1420875d24c2
151171a10bec
hex9d495f61a

42221303322 has 64 divisors (see below), whose sum is σ = 94656691584. Its totient is φ = 12442256640.

The previous prime is 42221303317. The next prime is 42221303323. The reversal of 42221303322 is 22330312224.

It is a junction number, because it is equal to n+sod(n) for n = 42221303292 and 42221303301.

It is not an unprimeable number, because it can be changed into a prime (42221303323) 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 31 ways as a sum of consecutive naturals, for example, 7413508 + ... + 7419200.

It is an arithmetic number, because the mean of its divisors is an integer number (1479010806).

Almost surely, 242221303322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221303322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47328345792).

42221303322 is an abundant number, since it is smaller than the sum of its proper divisors (52435388262).

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

42221303322 is a wasteful number, since it uses less digits than its factorization.

42221303322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42221303322 its reverse (22330312224), we get a palindrome (64551615546).

It can be divided in two parts, 42221 and 303322, that added together give a palindrome (345543).

The spelling of 42221303322 in words is "forty-two billion, two hundred twenty-one million, three hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 3037 5693 6074 9111 11386 17079 18222 33407 34158 62623 66814 100221 112369 125246 187869 200442 210641 224738 337107 375738 421282 631923 674214 1236059 1263846 2317051 2472118 3708177 4634102 6951153 7416354 13902306 17289641 34579282 51868923 103737846 190186051 380372102 570558153 639716717 1141116306 1279433434 1919150151 3838300302 7036883887 14073767774 21110651661 42221303322