203003010002000 has 160 divisors (see below), whose sum is σ = 528812040425760. Its totient is φ = 74927704473600.

The previous prime is 203003010001997. The next prime is 203003010002069. The reversal of 203003010002000 is 200010300302.

It can be written as a sum of positive squares in 16 ways, for example, as 128548339223056 + 74454670778944 = 11337916^2 + 8628712^2 .

It is a super-2 number, since 2×203003010002000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 70159946 + ... + 72996054.

It is an arithmetic number, because the mean of its divisors is an integer number (3305075252661).

Almost surely, 2^{203003010002000} is an apocalyptic number.

203003010002000 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 203003010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264406020212880).

203003010002000 is an abundant number, since it is smaller than the sum of its proper divisors (325809030423760).

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

203003010002000 is a wasteful number, since it uses less digits than its factorization.

203003010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838898 (or 2838882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 203003010002000 its reverse (200010300302), we get a palindrome (203203020302302).

The spelling of 203003010002000 in words is "two hundred three trillion, three billion, ten million, two thousand".