30187382401 has 32 divisors (see below), whose sum is σ = 34736781312. Its totient is φ = 25965730560.

The previous prime is 30187382387. The next prime is 30187382417. The reversal of 30187382401 is 10428378103.

It is not a de Polignac number, because 30187382401 - 2²⁵ = 30153827969 is a prime.

It is a super-2 number, since 2×30187382401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30187382441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23528106 + ... + 23529388.

It is an arithmetic number, because the mean of its divisors is an integer number (1085524416).

Almost surely, 2^30187382401 is an apocalyptic number.

It is an amenable number.

30187382401 is a deficient number, since it is larger than the sum of its proper divisors (4549398911).

30187382401 is a wasteful number, since it uses less digits than its factorization.

30187382401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 30187382401 in words is "thirty billion, one hundred eighty-seven million, three hundred eighty-two thousand, four hundred one".