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201930313 = 13611491709
BaseRepresentation
bin11000000100100…
…11011001001001
3112001222010022111
430002103121021
5403143232223
632012022321
75001244054
oct1402233111
9461863274
10201930313
11a3a91262
12577619a1
1332ab1ac0
141cb65a9b
1512adb30d
hexc093649

201930313 has 16 divisors (see below), whose sum is σ = 222642000. Its totient is φ = 182004480.

The previous prime is 201930299. The next prime is 201930329. The reversal of 201930313 is 313039102.

It can be written as a sum of positive squares in 8 ways, for example, as 120714169 + 81216144 = 10987^2 + 9012^2 .

It is not a de Polignac number, because 201930313 - 225 = 168375881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201930013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117303 + ... + 119011.

It is an arithmetic number, because the mean of its divisors is an integer number (13915125).

Almost surely, 2201930313 is an apocalyptic number.

It is an amenable number.

201930313 is a deficient number, since it is larger than the sum of its proper divisors (20711687).

201930313 is a wasteful number, since it uses less digits than its factorization.

201930313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 201930313 is about 14210.2186119708. The cubic root of 201930313 is about 586.6789501489.

Adding to 201930313 its reverse (313039102), we get a palindrome (514969415).

The spelling of 201930313 in words is "two hundred one million, nine hundred thirty thousand, three hundred thirteen".

Divisors: 1 13 61 149 793 1709 1937 9089 22217 104249 118157 254641 1355237 3310333 15533101 201930313