30330010100 has 72 divisors (see below), whose sum is σ = 71070060600. Its totient is φ = 11168570880.

The previous prime is 30330010031. The next prime is 30330010103. The reversal of 30330010100 is 101003303.

It can be written as a sum of positive squares in 12 ways, for example, as 3437945956 + 26892064144 = 58634^2 + 163988^2 .

It is a super-2 number, since 2×30330010100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30330010103) 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, 453626 + ... + 516174.

It is an arithmetic number, because the mean of its divisors is an integer number (987084175).

Almost surely, 2^30330010100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30330010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35535030300).

30330010100 is an abundant number, since it is smaller than the sum of its proper divisors (40740050500).

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

30330010100 is a wasteful number, since it uses less digits than its factorization.

30330010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62949 (or 62942 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 30330010100 its reverse (101003303), we get a palindrome (30431013403).

The spelling of 30330010100 in words is "thirty billion, three hundred thirty million, ten thousand, one hundred".