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30300102000 = 2433537711129
BaseRepresentation
bin11100001110000001…
…101101110101110000
32220012122222122221000
4130032001231311300
5444023311231000
621530352202000
72121602421540
oct341601556560
986178878830
1030300102000
1111939688113
125a57539300
132b1b5ca44c
141676247320
15bc5158000
hex70e06dd70

30300102000 has 640 divisors, whose sum is σ = 125906227200. Its totient is φ = 6822144000.

The previous prime is 30300101989. The next prime is 30300102013. The reversal of 30300102000 is 20100303.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26837436 + ... + 26838564.

It is an arithmetic number, because the mean of its divisors is an integer number (196728480).

Almost surely, 230300102000 is an apocalyptic number.

30300102000 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 30300102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62953113600).

30300102000 is an abundant number, since it is smaller than the sum of its proper divisors (95606125200).

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

30300102000 is a wasteful number, since it uses less digits than its factorization.

30300102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30300102000 its reverse (20100303), we get a palindrome (30320202303).

The spelling of 30300102000 in words is "thirty billion, three hundred million, one hundred two thousand".