2300010100032 has 112 divisors (see below), whose sum is σ = 6250805847360. Its totient is φ = 745842880512.

The previous prime is 2300010100009. The next prime is 2300010100033.

It is a happy number.

2300010100032 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 2300010099990 and 2300010100017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300010100033) 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 15 ways as a sum of consecutive naturals, for example, 61267444 + ... + 61304972.

Almost surely, 2^{2300010100032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300010100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125402923680).

2300010100032 is an abundant number, since it is smaller than the sum of its proper divisors (3950795747328).

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

2300010100032 is a wasteful number, since it uses less digits than its factorization.

2300010100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46208 (or 46198 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, 2300010 and 100032, that added together give a palindrome (2400042).

The spelling of 2300010100032 in words is "two trillion, three hundred billion, ten million, one hundred thousand, thirty-two".