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213252337300 = 22522132523373
BaseRepresentation
bin1100011010011011010…
…1000110111010010100
3202101102220220011122211
43012212311012322110
511443220044243200
6241544453403204
721256406646622
oct3064665067224
9671386804584
10213252337300
1182492426382
12353b5939504
1317156a71392
14a470174512
155831b1caba
hex31a6d46e94

213252337300 has 18 divisors (see below), whose sum is σ = 462757572158. Its totient is φ = 85300934880.

The previous prime is 213252337267. The next prime is 213252337379. The reversal of 213252337300 is 3733252312.

213252337300 is digitally balanced in base 2, 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 3 ways, for example, as 18957316 + 213233379984 = 4354^2 + 461772^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1066261587 + ... + 1066261786.

Almost surely, 2213252337300 is an apocalyptic number.

213252337300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213252337300 is an abundant number, since it is smaller than the sum of its proper divisors (249505234858).

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

213252337300 is a wasteful number, since it uses less digits than its factorization.

213252337300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132523387 (or 2132523380 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

Adding to 213252337300 its reverse (3733252312), we get a palindrome (216985589612).

The spelling of 213252337300 in words is "two hundred thirteen billion, two hundred fifty-two million, three hundred thirty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2132523373 4265046746 8530093492 10662616865 21325233730 42650467460 53313084325 106626168650 213252337300