Search a number
-
+
30001331232 = 253334723763
BaseRepresentation
bin11011111100001101…
…111111110000100000
32212102211210112111000
4123330031333300200
5442420320044412
621441000352000
72111314051665
oct337415776040
985384715430
1030001331232
11117a5a73224
125993475600
132aa1740002
1416486b3a6c
15ba8cdd4dc
hex6fc37fc20

30001331232 has 48 divisors (see below), whose sum is σ = 87503885280. Its totient is φ = 10000443456.

The previous prime is 30001331207. The next prime is 30001331237. The reversal of 30001331232 is 23213310003.

30001331232 is a `hidden beast` number, since 300 + 0 + 1 + 331 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30001331237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17361018 + ... + 17362745.

It is an arithmetic number, because the mean of its divisors is an integer number (1822997610).

Almost surely, 230001331232 is an apocalyptic number.

30001331232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30001331232 is an abundant number, since it is smaller than the sum of its proper divisors (57502554048).

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

30001331232 is a wasteful number, since it uses less digits than its factorization.

30001331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34723782 (or 34723768 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30001331232 its reverse (23213310003), we get a palindrome (53214641235).

The spelling of 30001331232 in words is "thirty billion, one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 34723763 69447526 104171289 138895052 208342578 277790104 312513867 416685156 555580208 625027734 833370312 937541601 1111160416 1250055468 1666740624 1875083202 2500110936 3333481248 3750166404 5000221872 7500332808 10000443744 15000665616 30001331232