Search a number
-
+
30322230000300 = 223252723593546833
BaseRepresentation
bin1101110010011111100011…
…01111110111101010101100
310222100202222100021210210200
412321033301233313222230
512433244411340002200
6144253501250233500
76246465061244220
oct671176157675254
9128322870253720
1030322230000300
119730649377627
123498799585890
1313bc4b294c294
1476b864a20780
15378b3dd99800
hex1b93f1bf7aac

30322230000300 has 432 divisors, whose sum is σ = 115264727585280. Its totient is φ = 6517090990080.

The previous prime is 30322230000247. The next prime is 30322230000329. The reversal of 30322230000300 is 300003222303.

30322230000300 is a `hidden beast` number, since 30 + 32 + 2 + 2 + 300 + 0 + 0 + 300 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6775684 + ... + 10322516.

It is an arithmetic number, because the mean of its divisors is an integer number (266816499040).

Almost surely, 230322230000300 is an apocalyptic number.

30322230000300 is a gapful number since it is divisible by the number (30) 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 30322230000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57632363792640).

30322230000300 is an abundant number, since it is smaller than the sum of its proper divisors (84942497584980).

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

30322230000300 is a wasteful number, since it uses less digits than its factorization.

30322230000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546942 (or 3546932 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30322230000300 its reverse (300003222303), we get a palindrome (30622233222603).

The spelling of 30322230000300 in words is "thirty trillion, three hundred twenty-two billion, two hundred thirty million, three hundred", and thus it is an aban number.