30141000 has 192 divisors, whose sum is σ = 108416880. Its totient is φ = 7526400.

The previous prime is 30140989. The next prime is 30141019. The reversal of 30141000 is 14103.

It can be written as a sum of positive squares in 8 ways, for example, as 11009124 + 19131876 = 3318^2 + 4374^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152902 + ... + 153098.

Almost surely, 2^30141000 is an apocalyptic number.

30141000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54208440).

30141000 is an abundant number, since it is smaller than the sum of its proper divisors (78275880).

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

30141000 is a wasteful number, since it uses less digits than its factorization.

30141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30141000 is about 5490.0819666012. The cubic root of 30141000 is about 311.2092896868.

Adding to 30141000 its reverse (14103), we get a palindrome (30155103).

The spelling of 30141000 in words is "thirty million, one hundred forty-one thousand".