30514061322100 has 72 divisors (see below), whose sum is σ = 67996374125400. Its totient is φ = 11878810982400.

The previous prime is 30514061322083. The next prime is 30514061322127. The reversal of 30514061322100 is 122316041503.

It can be written as a sum of positive squares in 12 ways, for example, as 8199907148304 + 22314154173796 = 2863548^2 + 4723786^2 .

It is a super-2 number, since 2×30514061322100² (a number of 28 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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7421455 + ... + 10775254.

It is an arithmetic number, because the mean of its divisors is an integer number (944394085075).

Almost surely, 2^{30514061322100} is an apocalyptic number.

It is an amenable number.

30514061322100 is an abundant number, since it is smaller than the sum of its proper divisors (37482312803300).

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

30514061322100 is a wasteful number, since it uses less digits than its factorization.

30514061322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197173 (or 18197166 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 30514061322100 its reverse (122316041503), we get a palindrome (30636377363603).

The spelling of 30514061322100 in words is "thirty trillion, five hundred fourteen billion, sixty-one million, three hundred twenty-two thousand, one hundred".