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4224431221100 = 225283556991393
BaseRepresentation
bin111101011110010011101…
…110001110100101101100
3112221211222212122000021022
4331132103232032211230
51023203113343033400
612552402113553312
7614130225625016
oct75362356164554
915854885560238
104224431221100
111389631325892
12582881575838
1324849286724c
1410866c02b1b6
1574d491eeb85
hex3d793b8e96c

4224431221100 has 72 divisors (see below), whose sum is σ = 9279229164240. Its totient is φ = 1669095751680.

The previous prime is 4224431221039. The next prime is 4224431221139. The reversal of 4224431221100 is 11221344224.

It is a self number, because there is not a number n which added to its sum of digits gives 4224431221100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46177004 + ... + 46268396.

Almost surely, 24224431221100 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 4224431221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639614582120).

4224431221100 is an abundant number, since it is smaller than the sum of its proper divisors (5054797943140).

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

4224431221100 is a wasteful number, since it uses less digits than its factorization.

4224431221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97059 (or 97052 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4224431221100 its reverse (11221344224), we get a palindrome (4235652565324).

The spelling of 4224431221100 in words is "four trillion, two hundred twenty-four billion, four hundred thirty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 5569 8300 11138 22276 27845 55690 91393 111380 139225 182786 278450 365572 456965 462227 556900 913930 924454 1827860 1848908 2284825 2311135 4569650 4622270 7585619 9139300 9244540 11555675 15171238 23111350 30342476 37928095 46222700 75856190 151712380 189640475 379280950 508967617 758561900 1017935234 2035870468 2544838085 5089676170 10179352340 12724190425 25448380850 42244312211 50896761700 84488624422 168977248844 211221561055 422443122110 844886244220 1056107805275 2112215610550 4224431221100