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4451320204100 = 22527115711012423
BaseRepresentation
bin100000011000110011101…
…0111000000101101000100
3120202112122011021120002222
41000301213113000231010
51040412300433012400
613244524104151512
7636411602306330
oct100614727005504
916675564246088
104451320204100
111466881233990
125ba842168598
132639b0866a43
141156332d27c0
157abc80ca185
hex40c675c0b44

4451320204100 has 144 divisors (see below), whose sum is σ = 12063947191296. Its totient is φ = 1384993296000.

The previous prime is 4451320204073. The next prime is 4451320204159. The reversal of 4451320204100 is 14020231544.

It is a self number, because there is not a number n which added to its sum of digits gives 4451320204100.

It is an unprimeable number.

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, 3890489 + ... + 4902911.

Almost surely, 24451320204100 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 4451320204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031973595648).

4451320204100 is an abundant number, since it is smaller than the sum of its proper divisors (7612626987196).

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

4451320204100 is a wasteful number, since it uses less digits than its factorization.

4451320204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013026 (or 1013019 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 4451320204100 its reverse (14020231544), we get a palindrome (4465340435644).

The spelling of 4451320204100 in words is "four trillion, four hundred fifty-one billion, three hundred twenty million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 571 700 770 1100 1142 1540 1925 2284 2855 3850 3997 5710 6281 7700 7994 11420 12562 14275 15988 19985 25124 28550 31405 39970 43967 57100 62810 79940 87934 99925 125620 157025 175868 199850 219835 314050 399700 439670 628100 879340 1012423 1099175 2024846 2198350 4049692 4396700 5062115 7086961 10124230 11136653 14173922 20248460 22273306 25310575 28347844 35434805 44546612 50621150 55683265 70869610 77956571 101242300 111366530 141739220 155913142 177174025 222733060 278416325 311826284 354348050 389782855 556832650 578093533 708696100 779565710 1113665300 1156187066 1559131420 1948914275 2312374132 2890467665 3897828550 4046654731 5780935330 6359028863 7795657100 8093309462 11561870660 12718057726 14452338325 16186618924 20233273655 25436115452 28904676650 31795144315 40466547310 44513202041 57809353300 63590288630 80933094620 89026404082 101166368275 127180577260 158975721575 178052808164 202332736550 222566010205 317951443150 404665473100 445132020410 635902886300 890264040820 1112830051025 2225660102050 4451320204100