30002102820 has 36 divisors (see below), whose sum is σ = 91006379100. Its totient is φ = 8000560704.

The previous prime is 30002102797. The next prime is 30002102821. The reversal of 30002102820 is 2820120003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22709284416 + 7292818404 = 150696^2 + 85398^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 30002102793 and 30002102802.

It is not an unprimeable number, because it can be changed into a prime (30002102821) 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, 83338995 + ... + 83339354.

It is an arithmetic number, because the mean of its divisors is an integer number (2527954975).

Almost surely, 2^30002102820 is an apocalyptic number.

30002102820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30002102820 is an abundant number, since it is smaller than the sum of its proper divisors (61004276280).

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

30002102820 is a wasteful number, since it uses less digits than its factorization.

30002102820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166678364 (or 166678359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30002102820 its reverse (2820120003), we get a palindrome (32822222823).

The spelling of 30002102820 in words is "thirty billion, two million, one hundred two thousand, eight hundred twenty".