Search a number
-
+
30001001220 = 22325166672229
BaseRepresentation
bin11011111100001100…
…101111001100000100
32212102211011202210100
4123330030233030010
5442420224014340
621440545324100
72111311205601
oct337414571404
985384152710
1030001001220
11117a5868293
125993336630
132aa1655a38
1416486296a8
15ba8c75830
hex6fc32f304

30001001220 has 36 divisors (see below), whose sum is σ = 91003037580. Its totient is φ = 8000266944.

The previous prime is 30001001203. The next prime is 30001001221. The reversal of 30001001220 is 2210010003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5821995204 + 24179006016 = 76302^2 + 155496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30001001221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83335935 + ... + 83336294.

It is an arithmetic number, because the mean of its divisors is an integer number (2527862155).

Almost surely, 230001001220 is an apocalyptic number.

30001001220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30001001220 is an abundant number, since it is smaller than the sum of its proper divisors (61002036360).

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

30001001220 is a wasteful number, since it uses less digits than its factorization.

30001001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166672244 (or 166672239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30001001220 its reverse (2210010003), we get a palindrome (32211011223).

The spelling of 30001001220 in words is "thirty billion, one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 166672229 333344458 500016687 666688916 833361145 1000033374 1500050061 1666722290 2000066748 2500083435 3000100122 3333444580 5000166870 6000200244 7500250305 10000333740 15000500610 30001001220