Search a number
-
+
30001321332 = 2232833370037
BaseRepresentation
bin11011111100001101…
…111101010101110100
32212102211210000220100
4123330031331111310
5442420314240312
621441000234100
72111314011063
oct337415752564
985384700810
1030001321332
11117a5a66844
12599346b930
132aa1738658
1416486b01da
15ba8cda5dc
hex6fc37d574

30001321332 has 18 divisors (see below), whose sum is σ = 75836673458. Its totient is φ = 10000440432.

The previous prime is 30001321331. The next prime is 30001321403. The reversal of 30001321332 is 23312310003.

30001321332 is a `hidden beast` number, since 300 + 0 + 1 + 32 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28722114576 + 1279206756 = 169476^2 + 35766^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30001321331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 416684983 + ... + 416685054.

Almost surely, 230001321332 is an apocalyptic number.

It is an amenable number.

30001321332 is an abundant number, since it is smaller than the sum of its proper divisors (45835352126).

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

30001321332 is a wasteful number, since it uses less digits than its factorization.

30001321332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833370047 (or 833370042 counting only the distinct ones).

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

Adding to 30001321332 its reverse (23312310003), we get a palindrome (53313631335).

The spelling of 30001321332 in words is "thirty billion, one million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 833370037 1666740074 2500110111 3333480148 5000220222 7500330333 10000440444 15000660666 30001321332