234444050300100 has 144 divisors (see below), whose sum is σ = 679264467541632. Its totient is φ = 62431832739840.

The previous prime is 234444050300077. The next prime is 234444050300123. The reversal of 234444050300100 is 1003050444432.

234444050300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234444050300077) and next prime (234444050300123).

It is a super-2 number, since 2×234444050300100² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1509222034 + ... + 1509377366.

It is an arithmetic number, because the mean of its divisors is an integer number (4717114357928).

Almost surely, 2^{234444050300100} is an apocalyptic number.

234444050300100 is a gapful number since it is divisible by the number (20) 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 234444050300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339632233770816).

234444050300100 is an abundant number, since it is smaller than the sum of its proper divisors (444820417241532).

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

234444050300100 is a wasteful number, since it uses less digits than its factorization.

234444050300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162286 (or 162279 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 234444050300100 in words is "two hundred thirty-four trillion, four hundred forty-four billion, fifty million, three hundred thousand, one hundred".