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330002113 = 7217421941
BaseRepresentation
bin10011101010110…
…110111011000001
3211222221211210111
4103222312323001
51133440031423
652425031321
711114654200
oct2352667301
9758854714
10330002113
1115a306521
1292625541
13534a3a2c
1431b83237
151de8860d
hex13ab6ec1

330002113 has 24 divisors (see below), whose sum is σ = 407859624. Its totient is φ = 265305600.

The previous prime is 330002111. The next prime is 330002119. The reversal of 330002113 is 311200033.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 310922689 = 4368^2 + 17633^2 .

It is not a de Polignac number, because 330002113 - 21 = 330002111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330002093 and 330002102.

It is not an unprimeable number, because it can be changed into a prime (330002111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350223 + ... + 351163.

It is an arithmetic number, because the mean of its divisors is an integer number (16994151).

Almost surely, 2330002113 is an apocalyptic number.

It is an amenable number.

330002113 is a deficient number, since it is larger than the sum of its proper divisors (77857511).

330002113 is a wasteful number, since it uses less digits than its factorization.

330002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 330002113 is about 18165.9602829027. The cubic root of 330002113 is about 691.0437979196.

Adding to 330002113 its reverse (311200033), we get a palindrome (641202146).

The spelling of 330002113 in words is "three hundred thirty million, two thousand, one hundred thirteen".

Divisors: 1 7 17 49 119 421 833 941 2947 6587 7157 15997 20629 46109 50099 111979 350693 396161 783853 2773127 6734737 19411889 47143159 330002113