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212321312 = 2572135409
BaseRepresentation
bin11001010011111…
…00010000100000
3112210112001002022
430221330100200
5413323240222
633022441012
75155462400
oct1451742040
9483461068
10212321312
11a9939165
125b133168
1334cac618
14202ac800
1513990042
hexca7c420

212321312 has 36 divisors (see below), whose sum is σ = 486257310. Its totient is φ = 90994176.

The previous prime is 212321309. The next prime is 212321323. The reversal of 212321312 is 213123212.

212321312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 175403536 + 36917776 = 13244^2 + 6076^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66137 + ... + 69272.

Almost surely, 2212321312 is an apocalyptic number.

It is an amenable number.

212321312 is an abundant number, since it is smaller than the sum of its proper divisors (273935998).

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

212321312 is a wasteful number, since it uses less digits than its factorization.

212321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135433 (or 135418 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 212321312 is about 14571.2495003002. The cubic root of 212321312 is about 596.5742854315.

Adding to 212321312 its reverse (213123212), we get a palindrome (425444524).

The spelling of 212321312 in words is "two hundred twelve million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 135409 270818 541636 947863 1083272 1895726 2166544 3791452 4333088 6635041 7582904 13270082 15165808 26540164 30331616 53080328 106160656 212321312