Base | Representation |
---|---|
bin | 11100010101111000… |
… | …110111110010110000 |
3 | 2220112212011211121120 |
4 | 130111320313302300 |
5 | 444311043014300 |
6 | 21551423222240 |
7 | 2125063512366 |
oct | 342570676260 |
9 | 86485154546 |
10 | 30432001200 |
11 | 119a7086a17 |
12 | 5a93747980 |
13 | 2b3ca2c503 |
14 | 168997d636 |
15 | bd1a0e3a0 |
hex | 715e37cb0 |
30432001200 has 120 divisors (see below), whose sum is σ = 97531890000. Its totient is φ = 8111201280.
The previous prime is 30432001091. The next prime is 30432001207. The reversal of 30432001200 is 210023403.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×304320012002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 30432001200.
It is not an unprimeable number, because it can be changed into a prime (30432001207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3053826 + ... + 3063774.
It is an arithmetic number, because the mean of its divisors is an integer number (812765750).
Almost surely, 230432001200 is an apocalyptic number.
30432001200 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 30432001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48765945000).
30432001200 is an abundant number, since it is smaller than the sum of its proper divisors (67099888800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30432001200 is a wasteful number, since it uses less digits than its factorization.
30432001200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12519 (or 12508 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 30432001200 its reverse (210023403), we get a palindrome (30642024603).
The spelling of 30432001200 in words is "thirty billion, four hundred thirty-two million, one thousand, two hundred".
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