201023000 has 64 divisors (see below), whose sum is σ = 481965120. Its totient is φ = 78432000.

The previous prime is 201022993. The next prime is 201023029. The reversal of 201023000 is 320102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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, 38549 + ... + 43451.

It is an arithmetic number, because the mean of its divisors is an integer number (7530705).

Almost surely, 2^201023000 is an apocalyptic number.

201023000 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 201023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240982560).

201023000 is an abundant number, since it is smaller than the sum of its proper divisors (280942120).

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

201023000 is a wasteful number, since it uses less digits than its factorization.

201023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 201023000 is about 14178.2580030129. The cubic root of 201023000 is about 585.7989424673.

Adding to 201023000 its reverse (320102), we get a palindrome (201343102).

The spelling of 201023000 in words is "two hundred one million, twenty-three thousand".