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212313100300 = 2252717193741619
BaseRepresentation
bin1100010110111011011…
…0001101000000001100
3202022000110112222201021
43011232312031000030
511434304123202200
6241311342323524
721224213401420
oct3055666150014
9668013488637
10212313100300
1182050234754
12351932895a4
13170372ba542
14a3c1522b80
1557c944041a
hex316ed8d00c

212313100300 has 576 divisors, whose sum is σ = 618410419200. Its totient is φ = 61511270400.

The previous prime is 212313100289. The next prime is 212313100327. The reversal of 212313100300 is 3001313212.

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 191 ways as a sum of consecutive naturals, for example, 342993391 + ... + 342994009.

It is an arithmetic number, because the mean of its divisors is an integer number (1073629200).

Almost surely, 2212313100300 is an apocalyptic number.

212313100300 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 212313100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309205209600).

212313100300 is an abundant number, since it is smaller than the sum of its proper divisors (406097318900).

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

212313100300 is a wasteful number, since it uses less digits than its factorization.

212313100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 212313100300 its reverse (3001313212), we get a palindrome (215314413512).

The spelling of 212313100300 in words is "two hundred twelve billion, three hundred thirteen million, one hundred thousand, three hundred".