230010010032 has 80 divisors (see below), whose sum is σ = 654628101120. Its totient is φ = 69009888000.

The previous prime is 230010009973. The next prime is 230010010063.

It is a happy number.

230010010032 is nontrivially palindromic in base 10.

230010010032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×230010010032⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103232 + ... + 2209887.

It is an arithmetic number, because the mean of its divisors is an integer number (8182851264).

Almost surely, 2^230010010032 is an apocalyptic number.

230010010032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230010010032 is an abundant number, since it is smaller than the sum of its proper divisors (424618091088).

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

230010010032 is a wasteful number, since it uses less digits than its factorization.

230010010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313242 (or 4313236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 2300100 and 10032, that added together give a palindrome (2310132).

The spelling of 230010010032 in words is "two hundred thirty billion, ten million, ten thousand, thirty-two".