30134414310 has 384 divisors, whose sum is σ = 99935990784. Its totient is φ = 5616138240.

The previous prime is 30134414293. The next prime is 30134414327. The reversal of 30134414310 is 1341443103.

It is an interprime number because it is at equal distance from previous prime (30134414293) and next prime (30134414327).

It is a super-2 number, since 2×30134414310² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41110704 + ... + 41111436.

It is an arithmetic number, because the mean of its divisors is an integer number (260249976).

Almost surely, 2^30134414310 is an apocalyptic number.

30134414310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30134414310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49967995392).

30134414310 is an abundant number, since it is smaller than the sum of its proper divisors (69801576474).

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

30134414310 is a wasteful number, since it uses less digits than its factorization.

30134414310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30134414310 its reverse (1341443103), we get a palindrome (31475857413).

It can be divided in two parts, 30134 and 414310, that added together give a palindrome (444444).

The spelling of 30134414310 in words is "thirty billion, one hundred thirty-four million, four hundred fourteen thousand, three hundred ten".