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30301030032 = 24372134092423
BaseRepresentation
bin11100001110000101…
…010000011010010000
32220012201201210221120
4130032011100122100
5444024030430112
621530424122240
72121613335300
oct341605203220
986181653846
1030301030032
111193a161389
125a57906380
132b1b863990
141676409600
15bc528ce8c
hex70e150690

30301030032 has 240 divisors, whose sum is σ = 98342455680. Its totient is φ = 7968651264.

The previous prime is 30301030021. The next prime is 30301030037. The reversal of 30301030032 is 23003010303.

It is a junction number, because it is equal to n+sod(n) for n = 30301029993 and 30301030020.

It is not an unprimeable number, because it can be changed into a prime (30301030037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12504373 + ... + 12506795.

It is an arithmetic number, because the mean of its divisors is an integer number (409760232).

Almost surely, 230301030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30301030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49171227840).

30301030032 is an abundant number, since it is smaller than the sum of its proper divisors (68041425648).

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

30301030032 is a wasteful number, since it uses less digits than its factorization.

30301030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 30301030032 its reverse (23003010303), we get a palindrome (53304040335).

The spelling of 30301030032 in words is "thirty billion, three hundred one million, thirty thousand, thirty-two".