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213311300 = 22522133113
BaseRepresentation
bin11001011011011…
…01111101000100
3112212101100002112
430231231331010
5414101430200
633100000152
75200054556
oct1455557504
9485340075
10213311300
11aa454a34
125b530058
1335268107
14204894d6
1513ad8535
hexcb6df44

213311300 has 18 divisors (see below), whose sum is σ = 462885738. Its totient is φ = 85324480.

The previous prime is 213311221. The next prime is 213311311. The reversal of 213311300 is 3113312.

It can be written as a sum of positive squares in 3 ways, for example, as 56761156 + 156550144 = 7534^2 + 12512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1066457 + ... + 1066656.

Almost surely, 2213311300 is an apocalyptic number.

213311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213311300 is an abundant number, since it is smaller than the sum of its proper divisors (249574438).

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

213311300 is a wasteful number, since it uses less digits than its factorization.

213311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133127 (or 2133120 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 213311300 is about 14605.1805877230. The cubic root of 213311300 is about 597.5000612734.

Adding to 213311300 its reverse (3113312), we get a palindrome (216424612).

The spelling of 213311300 in words is "two hundred thirteen million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2133113 4266226 8532452 10665565 21331130 42662260 53327825 106655650 213311300