201120309 has 18 divisors (see below), whose sum is σ = 314575170. Its totient is φ = 123765408.

The previous prime is 201120299. The next prime is 201120313. The reversal of 201120309 is 903021102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6517809 + 194602500 = 2553^2 + 13950^2 .

It is not a de Polignac number, because 201120309 - 2⁵ = 201120277 is a prime.

It is a super-3 number, since 3×201120309³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201120291 and 201120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64594 + ... + 67635.

Almost surely, 2^201120309 is an apocalyptic number.

It is an amenable number.

201120309 is a deficient number, since it is larger than the sum of its proper divisors (113454861).

201120309 is a wasteful number, since it uses less digits than its factorization.

201120309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132261 (or 132245 counting only the distinct ones).

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

The square root of 201120309 is about 14181.6892153227. The cubic root of 201120309 is about 585.8934495865.

The spelling of 201120309 in words is "two hundred one million, one hundred twenty thousand, three hundred nine".