Search a number
-
+
30322012020300 = 22325271113171999949
BaseRepresentation
bin1101110010011111001001…
…10000010101111001001100
310222100202102011010021110100
412321033210300111321030
512433243440034122200
6144253423502211100
76246456503403060
oct671174460257114
9128322364107410
1030322012020300
119730547323a70
123498738583a90
1313bc47973b130
1476b843abbaa0
15378b29b8cd00
hex1b93e4c15e4c

30322012020300 has 1728 divisors, whose sum is σ = 135808807680000. Its totient is φ = 5445837619200.

The previous prime is 30322012020239. The next prime is 30322012020331. The reversal of 30322012020300 is 302021022303.

It is a happy number.

30322012020300 is a `hidden beast` number, since 3 + 0 + 3 + 220 + 120 + 20 + 300 = 666.

It is a super-2 number, since 2×303220120203002 (a number of 28 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3047739726 + ... + 3047749674.

It is an arithmetic number, because the mean of its divisors is an integer number (78593060000).

Almost surely, 230322012020300 is an apocalyptic number.

30322012020300 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 30322012020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67904403840000).

30322012020300 is an abundant number, since it is smaller than the sum of its proper divisors (105486795659700).

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

30322012020300 is a wasteful number, since it uses less digits than its factorization.

30322012020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30322012020300 its reverse (302021022303), we get a palindrome (30624033042603).

The spelling of 30322012020300 in words is "thirty trillion, three hundred twenty-two billion, twelve million, twenty thousand, three hundred".