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3003516313 = 73114519539
BaseRepresentation
bin1011001100000110…
…0000010110011001
321202022122102210221
42303001200112121
522122400010223
61214011440041
7134300316220
oct26301402631
97668572727
103003516313
111301452296
126b9a56021
1338b345bb5
14206c7dcb7
15128a3ab5d
hexb3060599

3003516313 has 16 divisors (see below), whose sum is σ = 3546132480. Its totient is φ = 2489418000.

The previous prime is 3003516301. The next prime is 3003516323. The reversal of 3003516313 is 3136153003.

It is a cyclic number.

It is not a de Polignac number, because 3003516313 - 225 = 2969961881 is a prime.

It is a super-2 number, since 2×30035163132 = 18042220484914227938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3003516323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310098 + ... + 319636.

It is an arithmetic number, because the mean of its divisors is an integer number (221633280).

Almost surely, 23003516313 is an apocalyptic number.

It is an amenable number.

3003516313 is a deficient number, since it is larger than the sum of its proper divisors (542616167).

3003516313 is a wasteful number, since it uses less digits than its factorization.

3003516313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028.

The product of its (nonzero) digits is 2430, while the sum is 25.

The square root of 3003516313 is about 54804.3457492196. The cubic root of 3003516313 is about 1442.8128392851.

Adding to 3003516313 its reverse (3136153003), we get a palindrome (6139669316).

The spelling of 3003516313 in words is "three billion, three million, five hundred sixteen thousand, three hundred thirteen".

Divisors: 1 7 31 217 1451 9539 10157 44981 66773 295709 314867 2069963 13841089 96887623 429073759 3003516313