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4241020300 = 22521159101647
BaseRepresentation
bin1111110011001000…
…1101010110001100
3101221120020011010221
43330302031112030
532141200122200
61540455441124
7210045035446
oct37462152614
911846204127
104241020300
111886a44360
129a43861a4
1352783ba8a
142c3373496
1519c4d391a
hexfcc8d58c

4241020300 has 144 divisors (see below), whose sum is σ = 10326839040. Its totient is φ = 1498720000.

The previous prime is 4241020283. The next prime is 4241020309. The reversal of 4241020300 is 30201424.

It is not an unprimeable number, because it can be changed into a prime (4241020309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6554577 + ... + 6555223.

It is an arithmetic number, because the mean of its divisors is an integer number (71714160).

Almost surely, 24241020300 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 4241020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163419520).

4241020300 is an abundant number, since it is smaller than the sum of its proper divisors (6085818740).

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

4241020300 is a wasteful number, since it uses less digits than its factorization.

4241020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4241020300 is about 65123.1164794806. The cubic root of 4241020300 is about 1618.6642828152.

Adding to 4241020300 its reverse (30201424), we get a palindrome (4271221724).

The spelling of 4241020300 in words is "four billion, two hundred forty-one million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 101 110 118 202 220 236 275 295 404 505 550 590 647 649 1010 1100 1111 1180 1294 1298 1475 2020 2222 2525 2588 2596 2950 3235 3245 4444 5050 5555 5900 5959 6470 6490 7117 10100 11110 11918 12940 12980 14234 16175 16225 22220 23836 27775 28468 29795 32350 32450 35585 38173 55550 59590 64700 64900 65347 65549 71170 76346 111100 119180 130694 131098 142340 148975 152692 177925 190865 261388 262196 297950 326735 327745 355850 381730 419903 595900 653470 655490 711700 718817 763460 839806 954325 1306940 1310980 1437634 1633675 1638725 1679612 1908650 2099515 2875268 3267350 3277450 3594085 3817300 3855473 4199030 6534700 6554900 7188170 7710946 8398060 10497575 14376340 15421892 17970425 19277365 20995150 35940850 38554730 41990300 42410203 71881700 77109460 84820406 96386825 169640812 192773650 212051015 385547300 424102030 848204060 1060255075 2120510150 4241020300