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13103003300 = 22521729265781
BaseRepresentation
bin11000011001111111…
…11111011010100100
31020211011121112102112
430030333333122210
5203313332101200
610004110500152
7642463455542
oct141477773244
936734545375
1013103003300
115614338352
122658204658
13130a8274ba
148c42dcd92
1551a4eb535
hex30cfff6a4

13103003300 has 72 divisors (see below), whose sum is σ = 31144334760. Its totient is φ = 4762777600.

The previous prime is 13103003299. The next prime is 13103003339. The reversal of 13103003300 is 330030131.

It can be written as a sum of positive squares in 12 ways, for example, as 6118055524 + 6984947776 = 78218^2 + 83576^2 .

It is a super-3 number, since 3×131030033003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83591 + ... + 182190.

It is an arithmetic number, because the mean of its divisors is an integer number (432560205).

Almost surely, 213103003300 is an apocalyptic number.

13103003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103003300 is an abundant number, since it is smaller than the sum of its proper divisors (18041331460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103003300 is a wasteful number, since it uses less digits than its factorization.

13103003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265841 (or 265834 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 13103003300 its reverse (330030131), we get a palindrome (13433033431).

The spelling of 13103003300 in words is "thirteen billion, one hundred three million, three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 49300 265781 531562 1063124 1328905 2657810 4518277 5315620 6644525 7707649 9036554 13289050 15415298 18073108 22591385 26578100 30830596 38538245 45182770 77076490 90365540 112956925 131030033 154152980 192691225 225913850 262060066 385382450 451827700 524120132 655150165 770764900 1310300330 2620600660 3275750825 6551501650 13103003300