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13003332330 = 2352914946359
BaseRepresentation
bin11000001110000111…
…10001101011101010
31020120020001201120010
430013003301223222
5203112323113310
65550150312350
7640143333612
oct140703615352
936506051503
1013003332330
11557305104a
12262a9586b6
1312c2c9a6b1
148b4d95a42
155118ae320
hex3070f1aea

13003332330 has 32 divisors (see below), whose sum is σ = 32284137600. Its totient is φ = 3347984192.

The previous prime is 13003332289. The next prime is 13003332337. The reversal of 13003332330 is 3323330031.

13003332330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13003332297 and 13003332306.

It is not an unprimeable number, because it can be changed into a prime (13003332337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7472310 + ... + 7474049.

It is an arithmetic number, because the mean of its divisors is an integer number (1008879300).

Almost surely, 213003332330 is an apocalyptic number.

13003332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13003332330 is an abundant number, since it is smaller than the sum of its proper divisors (19280805270).

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

13003332330 is a wasteful number, since it uses less digits than its factorization.

13003332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14946398.

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 13003332330 its reverse (3323330031), we get a palindrome (16326662361).

The spelling of 13003332330 in words is "thirteen billion, three million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 14946359 29892718 44839077 74731795 89678154 149463590 224195385 433444411 448390770 866888822 1300333233 2167222055 2600666466 4334444110 6501666165 13003332330