23001022010032 has 100 divisors (see below), whose sum is σ = 49154378685280. Its totient is φ = 10426483267200.

The previous prime is 23001022009969. The next prime is 23001022010041.

23001022010032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23001022009988 and 23001022010015.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85838182 + ... + 86105722.

Almost surely, 2^{23001022010032} is an apocalyptic number.

23001022010032 is a gapful number since it is divisible by the number (22) 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 23001022010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24577189342640).

23001022010032 is an abundant number, since it is smaller than the sum of its proper divisors (26153356675248).

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

23001022010032 is an equidigital number, since it uses as much as digits as its factorization.

23001022010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267960 (or 267921 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 2300102 and 2010032, that added together give a palindrome (4310134).

The spelling of 23001022010032 in words is "twenty-three trillion, one billion, twenty-two million, ten thousand, thirty-two".