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13120013330 = 251727362189
BaseRepresentation
bin11000011100000001…
…11000010000010010
31020212100121201210122
430032000320100102
5203332210411310
610005515230242
7643061162504
oct141600702022
936770551718
1013120013330
1156229a6226
122661a48382
1313112019c8
148c6689d74
1551bc5b555
hex30e038412

13120013330 has 48 divisors (see below), whose sum is σ = 25430983560. Its totient is φ = 4871559168.

The previous prime is 13120013317. The next prime is 13120013341. The reversal of 13120013330 is 3331002131.

It can be written as a sum of positive squares in 12 ways, for example, as 2360307889 + 10759705441 = 48583^2 + 103729^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 13120013299 and 13120013308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179876 + ... + 242064.

Almost surely, 213120013330 is an apocalyptic number.

13120013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120013330 is a deficient number, since it is larger than the sum of its proper divisors (12310970230).

13120013330 is a wasteful number, since it uses less digits than its factorization.

13120013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62303 (or 62286 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13120013330 its reverse (3331002131), we get a palindrome (16451015461).

The spelling of 13120013330 in words is "thirteen billion, one hundred twenty million, thirteen thousand, three hundred thirty".

Divisors: 1 2 5 10 17 34 73 85 146 170 289 365 578 730 1241 1445 2482 2890 6205 12410 21097 42194 62189 105485 124378 210970 310945 621890 1057213 2114426 4539797 5286065 9079594 10572130 17972621 22698985 35945242 45397970 77176549 89863105 154353098 179726210 385882745 771765490 1312001333 2624002666 6560006665 13120013330