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212303313 = 32101233557
BaseRepresentation
bin11001010011101…
…11110111010001
3112210111010101200
430221313313101
5413322201223
633022221413
75155356045
oct1451676721
9483433350
10212303313
11a9926692
125b124869
1334ca4381
14202a6025
1513989a43
hexca77dd1

212303313 has 12 divisors (see below), whose sum is σ = 309697908. Its totient is φ = 140133600.

The previous prime is 212303303. The next prime is 212303387. The reversal of 212303313 is 313303212.

It can be written as a sum of positive squares in 2 ways, for example, as 92794689 + 119508624 = 9633^2 + 10932^2 .

It is not a de Polignac number, because 212303313 - 29 = 212302801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212303303) 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 11 ways as a sum of consecutive naturals, for example, 115870 + ... + 117687.

It is an arithmetic number, because the mean of its divisors is an integer number (25808159).

Almost surely, 2212303313 is an apocalyptic number.

It is an amenable number.

212303313 is a deficient number, since it is larger than the sum of its proper divisors (97394595).

212303313 is a wasteful number, since it uses less digits than its factorization.

212303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233664 (or 233661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 212303313 is about 14570.6318668752. The cubic root of 212303313 is about 596.5574272651.

Adding to 212303313 its reverse (313303212), we get a palindrome (525606525).

The spelling of 212303313 in words is "two hundred twelve million, three hundred three thousand, three hundred thirteen".

Divisors: 1 3 9 101 303 909 233557 700671 2102013 23589257 70767771 212303313