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30003000001 = 131727985893
BaseRepresentation
bin11011111100010100…
…010111001011000001
32212102221221022121021
4123330110113023001
5442421232000001
621441100225441
72111334202132
oct337424271301
985387838537
1030003000001
11117a6a02a77
125993b3b281
132aa1ba5750
1416489c9c89
15ba901cba1
hex6fc5172c1

30003000001 has 12 divisors (see below), whose sum is σ = 34323372412. Its totient is φ = 26065951488.

The previous prime is 30002999989. The next prime is 30003000007. The reversal of 30003000001 is 10000030003.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3774873600 + 26228126401 = 61440^2 + 161951^2 .

It is a de Polignac number, because none of the positive numbers 2k-30003000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30003000007) 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, 3989190 + ... + 3996703.

Almost surely, 230003000001 is an apocalyptic number.

It is an amenable number.

30003000001 is a deficient number, since it is larger than the sum of its proper divisors (4320372411).

30003000001 is a wasteful number, since it uses less digits than its factorization.

30003000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985940 (or 7985923 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

Adding to 30003000001 its reverse (10000030003), we get a palindrome (40003030004).

The spelling of 30003000001 in words is "thirty billion, three million, one", and thus it is an aban number and an uban number.

Divisors: 1 13 17 221 289 3757 7985893 103816609 135760181 1764882353 2307923077 30003000001