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20323301300 = 2252896173701
BaseRepresentation
bin10010111011010111…
…001111011110110100
31221110100212200020222
4102323113033132310
5313110231120200
613200354513512
71316426132201
oct227327173664
957410780228
1020323301300
118689a79085
123b32295898
131bbb673693
14dab202ca8
157de32dd85
hex4bb5cf7b4

20323301300 has 72 divisors (see below), whose sum is σ = 44681437080. Its totient is φ = 8022784000.

The previous prime is 20323301263. The next prime is 20323301309. The reversal of 20323301300 is 310332302.

It can be written as a sum of positive squares in 12 ways, for example, as 15406767376 + 4916533924 = 124124^2 + 70118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20323301309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5489450 + ... + 5493150.

It is an arithmetic number, because the mean of its divisors is an integer number (620575515).

Almost surely, 220323301300 is an apocalyptic number.

20323301300 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 20323301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22340718540).

20323301300 is an abundant number, since it is smaller than the sum of its proper divisors (24358135780).

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

20323301300 is a wasteful number, since it uses less digits than its factorization.

20323301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 20323301300 its reverse (310332302), we get a palindrome (20633633602).

The spelling of 20323301300 in words is "twenty billion, three hundred twenty-three million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 617 890 1234 1780 2225 2468 3085 3701 4450 6170 7402 8900 12340 14804 15425 18505 30850 37010 54913 61700 74020 92525 109826 185050 219652 274565 329389 370100 549130 658778 1098260 1317556 1372825 1646945 2283517 2745650 3293890 4567034 5491300 6587780 8234725 9134068 11417585 16469450 22835170 32938900 45670340 57087925 114175850 203233013 228351700 406466026 812932052 1016165065 2032330130 4064660260 5080825325 10161650650 20323301300