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30320301000 = 23353112101827
BaseRepresentation
bin11100001111001110…
…110001001111001000
32220021001222212202010
4130033032301033020
5444043444113000
621532353135520
72122236210003
oct341716611710
986231885663
1030320301000
111194a023a00
125a6225a5a0
132b22850312
141678bc453a
15bc6ce7d50
hex70f3b13c8

30320301000 has 384 divisors, whose sum is σ = 105137585280. Its totient is φ = 7268800000.

The previous prime is 30320300957. The next prime is 30320301001. The reversal of 30320301000 is 10302303.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30320301001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36662587 + ... + 36663413.

It is an arithmetic number, because the mean of its divisors is an integer number (273795795).

Almost surely, 230320301000 is an apocalyptic number.

30320301000 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 30320301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52568792640).

30320301000 is an abundant number, since it is smaller than the sum of its proper divisors (74817284280).

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

30320301000 is a wasteful number, since it uses less digits than its factorization.

30320301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 30320301000 its reverse (10302303), we get a palindrome (30330603303).

The spelling of 30320301000 in words is "thirty billion, three hundred twenty million, three hundred one thousand".