201310920 has 192 divisors, whose sum is σ = 687960000. Its totient is φ = 52939008.

The previous prime is 201310897. The next prime is 201310961. The reversal of 201310920 is 29013102.

It is a happy number.

It is a super-2 number, since 2×201310920² = 81052173022492800, which contains 22 as substring.

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 = 201310893 and 201310902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351006 + ... + 1351154.

It is an arithmetic number, because the mean of its divisors is an integer number (3583125).

Almost surely, 2^201310920 is an apocalyptic number.

201310920 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 201310920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980000).

201310920 is an abundant number, since it is smaller than the sum of its proper divisors (486649080).

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

201310920 is a wasteful number, since it uses less digits than its factorization.

201310920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

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

The square root of 201310920 is about 14188.4079445158. The cubic root of 201310920 is about 586.0784838988.

The spelling of 201310920 in words is "two hundred one million, three hundred ten thousand, nine hundred twenty".