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30013301100 = 223521737533001
BaseRepresentation
bin11011111100111011…
…101010000101101100
32212110200022200001110
4123330323222011230
5442431401113400
621442105112020
72111520564366
oct337473520554
985420280043
1030013301100
11118017a9382
125997488610
132aa4071383
14164a10bd36
15ba9da4e50
hex6fceea16c

30013301100 has 288 divisors, whose sum is σ = 96245464896. Its totient is φ = 7188480000.

The previous prime is 30013301081. The next prime is 30013301141. The reversal of 30013301100 is 110331003.

It is a super-2 number, since 2×300133011002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9999600 + ... + 10002600.

It is an arithmetic number, because the mean of its divisors is an integer number (334185642).

Almost surely, 230013301100 is an apocalyptic number.

30013301100 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 30013301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48122732448).

30013301100 is an abundant number, since it is smaller than the sum of its proper divisors (66232163796).

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

30013301100 is a wasteful number, since it uses less digits than its factorization.

30013301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 30013301100 its reverse (110331003), we get a palindrome (30123632103).

The spelling of 30013301100 in words is "thirty billion, thirteen million, three hundred one thousand, one hundred".