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303120013 = 71723110749
BaseRepresentation
bin10010000100010…
…011111010001101
3210010101002111011
4102010103322031
51110044320023
650024525221
710340322550
oct2204237215
9703332434
10303120013
11146115609
1285620811
134aa50c71
142c386697
151b92850d
hex12113e8d

303120013 has 16 divisors (see below), whose sum is σ = 382752000. Its totient is φ = 233899776.

The previous prime is 303119987. The next prime is 303120019. The reversal of 303120013 is 310021303.

It is a cyclic number.

It is not a de Polignac number, because 303120013 - 29 = 303119501 is a prime.

It is a super-2 number, since 2×3031200132 = 183763484562240338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 303119975 and 303120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303120019) 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, 52638 + ... + 58111.

It is an arithmetic number, because the mean of its divisors is an integer number (23922000).

Almost surely, 2303120013 is an apocalyptic number.

It is an amenable number.

303120013 is a deficient number, since it is larger than the sum of its proper divisors (79631987).

303120013 is a wasteful number, since it uses less digits than its factorization.

303120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110796.

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

The square root of 303120013 is about 17410.3421275976. The cubic root of 303120013 is about 671.7456616454.

Adding to 303120013 its reverse (310021303), we get a palindrome (613141316).

The spelling of 303120013 in words is "three hundred three million, one hundred twenty thousand, thirteen".

Divisors: 1 7 17 23 119 161 391 2737 110749 775243 1882733 2547227 13179131 17830589 43302859 303120013