201303100 has 72 divisors (see below), whose sum is σ = 464814000. Its totient is φ = 75456000.

The previous prime is 201303079. The next prime is 201303101. The reversal of 201303100 is 1303102.

It is a super-2 number, since 2×201303100² = 81045876139220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201303101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191376 + ... + 192424.

It is an arithmetic number, because the mean of its divisors is an integer number (6455750).

Almost surely, 2^201303100 is an apocalyptic number.

201303100 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 201303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232407000).

201303100 is an abundant number, since it is smaller than the sum of its proper divisors (263510900).

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

201303100 is a wasteful number, since it uses less digits than its factorization.

201303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 201303100 is about 14188.1323647618. The cubic root of 201303100 is about 586.0708949859.

Adding to 201303100 its reverse (1303102), we get a palindrome (202606202).

The spelling of 201303100 in words is "two hundred one million, three hundred three thousand, one hundred".