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201305313 = 321117119611
BaseRepresentation
bin10111111111110…
…10110011100001
3112000210100222100
423333322303201
5403013232223
631550401013
74663031646
oct1377726341
9460710870
10201305313
11a36a4730
1257500169
1332923491
141ca41dcd
1512a16043
hexbfface1

201305313 has 24 divisors (see below), whose sum is σ = 335870496. Its totient is φ = 114825600.

The previous prime is 201305281. The next prime is 201305329. The reversal of 201305313 is 313503102.

201305313 is a `hidden beast` number, since 2 + 0 + 130 + 531 + 3 = 666.

It is not a de Polignac number, because 201305313 - 25 = 201305281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201305353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58123 + ... + 61488.

It is an arithmetic number, because the mean of its divisors is an integer number (13994604).

Almost surely, 2201305313 is an apocalyptic number.

It is an amenable number.

201305313 is a deficient number, since it is larger than the sum of its proper divisors (134565183).

201305313 is a wasteful number, since it uses less digits than its factorization.

201305313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119645 (or 119642 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 201305313 is about 14188.2103522608. The cubic root of 201305313 is about 586.0730426100.

Adding to 201305313 its reverse (313503102), we get a palindrome (514808415).

The spelling of 201305313 in words is "two hundred one million, three hundred five thousand, three hundred thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 119611 358833 1076499 1315721 2033387 3947163 6100161 11841489 18300483 22367257 67101771 201305313