Search a number
-
+
106320213 = 3211813357
BaseRepresentation
bin1100101011001…
…01000101010101
321102001121220200
412111211011111
5204204221323
614314451113
72430464316
oct625450525
9242047820
10106320213
1155018a4a
122b733a99
131904748c
141019860d
159502443
hex6565155

106320213 has 6 divisors (see below), whose sum is σ = 153573654. Its totient is φ = 70880136.

The previous prime is 106320199. The next prime is 106320233. The reversal of 106320213 is 312023601.

106320213 is a `hidden beast` number, since 10 + 632 + 0 + 21 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104407524 + 1912689 = 10218^2 + 1383^2 .

It is not a de Polignac number, because 106320213 - 28 = 106319957 is a prime.

It is a super-2 number, since 2×1063202132 = 22607975384730738, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106320233) 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 5 ways as a sum of consecutive naturals, for example, 5906670 + ... + 5906687.

It is an arithmetic number, because the mean of its divisors is an integer number (25595609).

Almost surely, 2106320213 is an apocalyptic number.

It is an amenable number.

106320213 is a deficient number, since it is larger than the sum of its proper divisors (47253441).

106320213 is a wasteful number, since it uses less digits than its factorization.

106320213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813363 (or 11813360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106320213 is about 10311.1693323308. The cubic root of 106320213 is about 473.7384258862.

Adding to 106320213 its reverse (312023601), we get a palindrome (418343814).

The spelling of 106320213 in words is "one hundred six million, three hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 11813357 35440071 106320213