30003002200301 has 24 divisors (see below), whose sum is σ = 33467084110824. Its totient is φ = 26737224192000.

The previous prime is 30003002200271. The next prime is 30003002200333. The reversal of 30003002200301 is 10300220030003.

It can be written as a sum of positive squares in 12 ways, for example, as 20693491980100 + 9309510220201 = 4549010^2 + 3051149^2 .

It is not a de Polignac number, because 30003002200301 - 2⁴² = 25604955689197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30003002202301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105875801 + ... + 106158801.

It is an arithmetic number, because the mean of its divisors is an integer number (1394461837951).

Almost surely, 2^{30003002200301} is an apocalyptic number.

It is an amenable number.

30003002200301 is a deficient number, since it is larger than the sum of its proper divisors (3464081910523).

30003002200301 is a wasteful number, since it uses less digits than its factorization.

30003002200301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292769 (or 292740 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 30003002200301 its reverse (10300220030003), we get a palindrome (40303222230304).

The spelling of 30003002200301 in words is "thirty trillion, three billion, two million, two hundred thousand, three hundred one".