Search a number
-
+
30002201100 = 223252373112897
BaseRepresentation
bin11011111100010001…
…010100001000001100
32212102220102201201100
4123330101110020030
5442421030413400
621441031143100
72111324334024
oct337421241014
985386381640
1030002201100
11117a6507823
125993814a90
132aa1985c21
14164885ca84
15ba8e11100
hex6fc45420c

30002201100 has 216 divisors, whose sum is σ = 96925858848. Its totient is φ = 7756646400.

The previous prime is 30002201081. The next prime is 30002201219. The reversal of 30002201100 is 110220003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10354852 + ... + 10357748.

It is an arithmetic number, because the mean of its divisors is an integer number (448730828).

Almost surely, 230002201100 is an apocalyptic number.

30002201100 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 30002201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48462929424).

30002201100 is an abundant number, since it is smaller than the sum of its proper divisors (66923657748).

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

30002201100 is a wasteful number, since it uses less digits than its factorization.

30002201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30002201100 its reverse (110220003), we get a palindrome (30112421103).

The spelling of 30002201100 in words is "thirty billion, two million, two hundred one thousand, one hundred".