201003000 has 128 divisors (see below), whose sum is σ = 684253440. Its totient is φ = 48720000.

The previous prime is 201002993. The next prime is 201003007. The reversal of 201003000 is 300102.

It is an interprime number because it is at equal distance from previous prime (201002993) and next prime (201003007).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 201003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201003007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29955 + ... + 36045.

It is an arithmetic number, because the mean of its divisors is an integer number (5345730).

Almost surely, 2^201003000 is an apocalyptic number.

201003000 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 201003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342126720).

201003000 is an abundant number, since it is smaller than the sum of its proper divisors (483250440).

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

201003000 is a wasteful number, since it uses less digits than its factorization.

201003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 201003000 is about 14177.5526802054. The cubic root of 201003000 is about 585.7795145620.

Adding to 201003000 its reverse (300102), we get a palindrome (201303102).

The spelling of 201003000 in words is "two hundred one million, three thousand".