Search a number
-
+
300012003072 = 283210110712049
BaseRepresentation
bin1000101110110100001…
…10111101111100000000
31001200101100111211212100
410113122012331330000
514403411033044242
6345453522230400
730450401643615
oct4273206757400
91050340454770
10300012003072
11106263a553a1
124a1894b5400
13223a2472112
141074098850c
157c0d78054c
hex45da1bdf00

300012003072 has 216 divisors, whose sum is σ = 881810420400. Its totient is φ = 98080358400.

The previous prime is 300012003017. The next prime is 300012003073. The reversal of 300012003072 is 270300210003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300012003073) 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 23 ways as a sum of consecutive naturals, for example, 24893304 + ... + 24905352.

It is an arithmetic number, because the mean of its divisors is an integer number (4082455650).

Almost surely, 2300012003072 is an apocalyptic number.

300012003072 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 300012003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440905210200).

300012003072 is an abundant number, since it is smaller than the sum of its proper divisors (581798417328).

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

300012003072 is a wasteful number, since it uses less digits than its factorization.

300012003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 300012003072 its reverse (270300210003), we get a palindrome (570312213075).

The spelling of 300012003072 in words is "three hundred billion, twelve million, three thousand, seventy-two".