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213302213 = 1741306029
BaseRepresentation
bin11001011011010…
…11101111000101
3112212100212121222
430231223233011
5414101132323
633055450125
75200016225
oct1455535705
9485325558
10213302213
11aa449123
125b526945
1335263c37
1420486085
1513ad59c8
hexcb6bbc5

213302213 has 8 divisors (see below), whose sum is σ = 231358680. Its totient is φ = 195857920.

The previous prime is 213302183. The next prime is 213302239. The reversal of 213302213 is 312203312.

It can be written as a sum of positive squares in 4 ways, for example, as 15984004 + 197318209 = 3998^2 + 14047^2 .

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 213302213 - 212 = 213298117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213302191 and 213302200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213302293) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 152318 + ... + 153711.

It is an arithmetic number, because the mean of its divisors is an integer number (28919835).

Almost surely, 2213302213 is an apocalyptic number.

It is an amenable number.

213302213 is a deficient number, since it is larger than the sum of its proper divisors (18056467).

213302213 is a wasteful number, since it uses less digits than its factorization.

213302213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306087.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213302213 is about 14604.8694961646. The cubic root of 213302213 is about 597.4915767094.

Adding to 213302213 its reverse (312203312), we get a palindrome (525505525).

The spelling of 213302213 in words is "two hundred thirteen million, three hundred two thousand, two hundred thirteen".

Divisors: 1 17 41 697 306029 5202493 12547189 213302213