Search a number
-
+
300323313213312 = 2734359983936191
BaseRepresentation
bin100010001001001000111100…
…0011001101101111110000000
31110101100121222001210120002010
41010102101320121231332000
5303330444121140311222
62542422343032252520
7120154433445443364
oct10422217031557600
91411317861716063
10300323313213312
1187768446994a64
1229824805b41140
13cb764a01689ac
145423a23cb92a4
1524ac172a9b80c
hex111247866df80

300323313213312 has 256 divisors, whose sum is σ = 818645667840000. Its totient is φ = 97497402562560.

The previous prime is 300323313213307. The next prime is 300323313213353. The reversal of 300323313213312 is 213312313323003.

It is a super-2 number, since 2×3003233132133122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 300323313213312.

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, 8298269137 + ... + 8298305327.

It is an arithmetic number, because the mean of its divisors is an integer number (3197834640000).

Almost surely, 2300323313213312 is an apocalyptic number.

300323313213312 is a gapful number since it is divisible by the number (32) 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 300323313213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409322833920000).

300323313213312 is an abundant number, since it is smaller than the sum of its proper divisors (518322354626688).

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

300323313213312 is a wasteful number, since it uses less digits than its factorization.

300323313213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37689 (or 37677 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 300323313213312 its reverse (213312313323003), we get a palindrome (513635626536315).

The spelling of 300323313213312 in words is "three hundred trillion, three hundred twenty-three billion, three hundred thirteen million, two hundred thirteen thousand, three hundred twelve".