203011920 has 210 divisors, whose sum is σ = 719878218. Its totient is φ = 53218944.

The previous prime is 203011891. The next prime is 203011927. The reversal of 203011920 is 29110302.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 162409536 + 40602384 = 12744^2 + 6372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203011893 and 203011902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203011927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3440851 + ... + 3440909.

Almost surely, 2^203011920 is an apocalyptic number.

203011920 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 203011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359939109).

203011920 is an abundant number, since it is smaller than the sum of its proper divisors (516866298).

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

203011920 is an frugal number, since it uses more digits than its factorization.

203011920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 203011920 is about 14248.2251526287. The cubic root of 203011920 is about 587.7245690453.

The spelling of 203011920 in words is "two hundred three million, eleven thousand, nine hundred twenty".