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134200313 = 1329355969
BaseRepresentation
bin1111111111110…
…11101111111001
3100100112002012222
413333323233321
5233323402223
621152213425
73216453362
oct777735771
9310462188
10134200313
1169830755
1238b3a275
1321a59590
1413b74b69
15bbad0c8
hex7ffbbf9

134200313 has 8 divisors (see below), whose sum is σ = 149507400. Its totient is φ = 119605248.

The previous prime is 134200307. The next prime is 134200343. The reversal of 134200313 is 313002431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3052009 + 131148304 = 1747^2 + 11452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 134200313 - 212 = 134196217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134200291 and 134200300.

It is not an unprimeable number, because it can be changed into a prime (134200343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177608 + ... + 178361.

It is an arithmetic number, because the mean of its divisors is an integer number (18688425).

Almost surely, 2134200313 is an apocalyptic number.

134200313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

134200313 is a deficient number, since it is larger than the sum of its proper divisors (15307087).

134200313 is a wasteful number, since it uses less digits than its factorization.

134200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356011.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 134200313 is about 11584.4858755147. The cubic root of 134200313 is about 511.9778547245.

Adding to 134200313 its reverse (313002431), we get a palindrome (447202744).

The spelling of 134200313 in words is "one hundred thirty-four million, two hundred thousand, three hundred thirteen".

Divisors: 1 13 29 377 355969 4627597 10323101 134200313