214101320 has 16 divisors (see below), whose sum is σ = 481728060. Its totient is φ = 85640512.

The previous prime is 214101317. The next prime is 214101323. The reversal of 214101320 is 23101412.

It is an interprime number because it is at equal distance from previous prime (214101317) and next prime (214101323).

It can be written as a sum of positive squares in 2 ways, for example, as 175138756 + 38962564 = 13234^2 + 6242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214101295 and 214101304.

It is not an unprimeable number, because it can be changed into a prime (214101323) 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 3 ways as a sum of consecutive naturals, for example, 2676227 + ... + 2676306.

Almost surely, 2^214101320 is an apocalyptic number.

214101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214101320 is an abundant number, since it is smaller than the sum of its proper divisors (267626740).

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

214101320 is a wasteful number, since it uses less digits than its factorization.

214101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352544 (or 5352540 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 214101320 is about 14632.2014748294. The cubic root of 214101320 is about 598.2367865022.

Adding to 214101320 its reverse (23101412), we get a palindrome (237202732).

The spelling of 214101320 in words is "two hundred fourteen million, one hundred one thousand, three hundred twenty".