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13002003003 = 31110127714083
BaseRepresentation
bin11000001101111101…
…01101001000111011
31020120010120012001210
430012332231020323
5203112003044003
65550102014203
7640126126203
oct140676551073
936503505053
1013002003003
115572323330
12262a417363
1312c2923602
148b4b2b403
155116ea503
hex306fad23b

13002003003 has 32 divisors (see below), whose sum is σ = 19169563392. Its totient is φ = 7773264000.

The previous prime is 13002002977. The next prime is 13002003011. The reversal of 13002003003 is 30030020031.

It is a happy number.

It is not a de Polignac number, because 13002003003 - 29 = 13002002491 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13002003003.

It is not an unprimeable number, because it can be changed into a prime (13002003083) 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 31 ways as a sum of consecutive naturals, for example, 916200 + ... + 930282.

It is an arithmetic number, because the mean of its divisors is an integer number (599048856).

Almost surely, 213002003003 is an apocalyptic number.

13002003003 is a deficient number, since it is larger than the sum of its proper divisors (6167560389).

13002003003 is a wasteful number, since it uses less digits than its factorization.

13002003003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13002003003 its reverse (30030020031), we get a palindrome (43032023034).

The spelling of 13002003003 in words is "thirteen billion, two million, three thousand, three".

Divisors: 1 3 11 33 101 277 303 831 1111 3047 3333 9141 14083 27977 42249 83931 154913 307747 464739 923241 1422383 3900991 4267149 11702973 15646213 42910901 46938639 128732703 394000091 1182000273 4334001001 13002003003