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213031013 = 1329565069
BaseRepresentation
bin11001011001010…
…01100001100101
3112211212002121112
430230221201211
5414013443023
633045554405
75164506446
oct1454514145
9484762545
10213031013
11aa283398
125b415a05
133519a670
14204152cd
1513a80478
hexcb29865

213031013 has 8 divisors (see below), whose sum is σ = 237329400. Its totient is φ = 189862848.

The previous prime is 213031003. The next prime is 213031019. The reversal of 213031013 is 310130312.

It can be written as a sum of positive squares in 4 ways, for example, as 6160324 + 206870689 = 2482^2 + 14383^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213031013 - 24 = 213030997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213031019) 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 7 ways as a sum of consecutive naturals, for example, 282158 + ... + 282911.

It is an arithmetic number, because the mean of its divisors is an integer number (29666175).

Almost surely, 2213031013 is an apocalyptic number.

It is an amenable number.

213031013 is a deficient number, since it is larger than the sum of its proper divisors (24298387).

213031013 is a wasteful number, since it uses less digits than its factorization.

213031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565111.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 213031013 is about 14595.5819685273. The cubic root of 213031013 is about 597.2382453191.

Adding to 213031013 its reverse (310130312), we get a palindrome (523161325).

The spelling of 213031013 in words is "two hundred thirteen million, thirty-one thousand, thirteen".

Divisors: 1 13 29 377 565069 7345897 16387001 213031013