30434441132100 has 216 divisors, whose sum is σ = 89067161191008. Its totient is φ = 8023661798400.

The previous prime is 30434441132099. The next prime is 30434441132111. The reversal of 30434441132100 is 123114443403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1396897407 + ... + 1396919193.

Almost surely, 2^{30434441132100} is an apocalyptic number.

30434441132100 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 30434441132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44533580595504).

30434441132100 is an abundant number, since it is smaller than the sum of its proper divisors (58632720058908).

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

30434441132100 is a wasteful number, since it uses less digits than its factorization.

30434441132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22323 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 30434441132100 its reverse (123114443403), we get a palindrome (30557555575503).

The spelling of 30434441132100 in words is "thirty trillion, four hundred thirty-four billion, four hundred forty-one million, one hundred thirty-two thousand, one hundred".