30233442100032 has 224 divisors, whose sum is σ = 92008303257600. Its totient is φ = 9723664742400.

The previous prime is 30233442099977. The next prime is 30233442100033. The reversal of 30233442100032 is 23000124433203.

30233442100032 is a `hidden beast` number, since 3 + 0 + 233 + 4 + 421 + 0 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×30233442100032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30233442099969 and 30233442100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30233442100033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73509682 + ... + 73919822.

Almost surely, 2^{30233442100032} is an apocalyptic number.

30233442100032 is a gapful number since it is divisible by the number (32) 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 30233442100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46004151628800).

30233442100032 is an abundant number, since it is smaller than the sum of its proper divisors (61774861157568).

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

30233442100032 is a wasteful number, since it uses less digits than its factorization.

30233442100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411662 (or 411646 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30233442100032 its reverse (23000124433203), we get a palindrome (53233566533235).

The spelling of 30233442100032 in words is "thirty trillion, two hundred thirty-three billion, four hundred forty-two million, one hundred thousand, thirty-two".