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212321300 = 22522123213
BaseRepresentation
bin11001010011111…
…00010000010100
3112210112001001212
430221330100110
5413323240200
633022440552
75155462352
oct1451742024
9483461055
10212321300
11a9939154
125b133158
1334cac609
14202ac7d2
1513990035
hexca7c414

212321300 has 18 divisors (see below), whose sum is σ = 460737438. Its totient is φ = 84928480.

The previous prime is 212321293. The next prime is 212321309. The reversal of 212321300 is 3123212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27415696 + 184905604 = 5236^2 + 13598^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212321309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1061507 + ... + 1061706.

Almost surely, 2212321300 is an apocalyptic number.

212321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321300 is an abundant number, since it is smaller than the sum of its proper divisors (248416138).

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

212321300 is a wasteful number, since it uses less digits than its factorization.

212321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123227 (or 2123220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212321300 is about 14571.2490885305. The cubic root of 212321300 is about 596.5742741924.

Adding to 212321300 its reverse (3123212), we get a palindrome (215444512).

The spelling of 212321300 in words is "two hundred twelve million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2123213 4246426 8492852 10616065 21232130 42464260 53080325 106160650 212321300