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20214032300 = 22527119772687
BaseRepresentation
bin10010110100110110…
…011010011110101100
31221011202021020100222
4102310312122132230
5312344243013200
613141452510512
71313631303530
oct226466323654
957152236328
1020214032300
118633326720
123b0177b438
131ba1b35c77
14d9a8bbbc0
157d4947d85
hex4b4d9a7ac

20214032300 has 144 divisors (see below), whose sum is σ = 54764494848. Its totient is φ = 6291686400.

The previous prime is 20214032273. The next prime is 20214032309. The reversal of 20214032300 is 323041202.

It is not an unprimeable number, because it can be changed into a prime (20214032309) 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 47 ways as a sum of consecutive naturals, for example, 7521557 + ... + 7524243.

It is an arithmetic number, because the mean of its divisors is an integer number (380308992).

Almost surely, 220214032300 is an apocalyptic number.

20214032300 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 20214032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27382247424).

20214032300 is an abundant number, since it is smaller than the sum of its proper divisors (34550462548).

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

20214032300 is a wasteful number, since it uses less digits than its factorization.

20214032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20214032300 its reverse (323041202), we get a palindrome (20537073502).

The spelling of 20214032300 in words is "twenty billion, two hundred fourteen million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 977 1100 1540 1925 1954 2687 3850 3908 4885 5374 6839 7700 9770 10747 10748 13435 13678 18809 19540 21494 24425 26870 27356 29557 34195 37618 42988 48850 53735 53740 59114 67175 68390 75229 75236 94045 97700 107470 118228 134350 136780 147785 150458 170975 188090 206899 214940 268675 268700 295570 300916 341950 376145 376180 413798 470225 537350 591140 683900 738925 752290 827596 940450 1034495 1074700 1477850 1504580 1880725 1880900 2068990 2625199 2955700 3761450 4137980 5172475 5250398 7522900 10344950 10500796 13125995 18376393 20689900 26251990 28877189 36752786 52503980 57754378 65629975 73505572 91881965 115508756 131259950 144385945 183763930 202140323 262519900 288771890 367527860 404280646 459409825 577543780 721929725 808561292 918819650 1010701615 1443859450 1837639300 2021403230 2887718900 4042806460 5053508075 10107016150 20214032300