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20301311000 = 2353314571433
BaseRepresentation
bin10010111010000011…
…010110110000011000
31221101211111110020102
4102322003112300120
5313034113423000
613154251314532
71316041203425
oct227203266030
957354443212
1020301311000
118678619483
123b26a4ba48
131bb6c44379
14da831ad4c
157dc4383d5
hex4ba0d6c18

20301311000 has 128 divisors (see below), whose sum is σ = 49179087360. Its totient is φ = 7835904000.

The previous prime is 20301310999. The next prime is 20301311029. The reversal of 20301311000 is 11310302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14166284 + ... + 14167716.

It is an arithmetic number, because the mean of its divisors is an integer number (384211620).

Almost surely, 220301311000 is an apocalyptic number.

20301311000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24589543680).

20301311000 is an abundant number, since it is smaller than the sum of its proper divisors (28877776360).

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

20301311000 is a wasteful number, since it uses less digits than its factorization.

20301311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 20301311000 its reverse (11310302), we get a palindrome (20312621302).

The spelling of 20301311000 in words is "twenty billion, three hundred one million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 457 500 620 775 914 1000 1240 1433 1550 1828 2285 2866 3100 3656 3875 4570 5732 6200 7165 7750 9140 11425 11464 14167 14330 15500 18280 22850 28334 28660 31000 35825 44423 45700 56668 57125 57320 70835 71650 88846 91400 113336 114250 141670 143300 177692 179125 222115 228500 283340 286600 354175 355384 358250 444230 457000 566680 654881 708350 716500 888460 1110575 1309762 1416700 1433000 1770875 1776920 2221150 2619524 2833400 3274405 3541750 4442300 5239048 5552875 6548810 7083500 8884600 11105750 13097620 14167000 16372025 20301311 22211500 26195240 32744050 40602622 44423000 65488100 81205244 81860125 101506555 130976200 162410488 163720250 203013110 327440500 406026220 507532775 654881000 812052440 1015065550 2030131100 2537663875 4060262200 5075327750 10150655500 20301311000