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13023210330 = 23251326342323
BaseRepresentation
bin11000010000011111…
…00110101101011010
31020121121110122001100
430020033212231122
5203132420212310
65552140332230
7640504314144
oct141017465532
936547418040
1013023210330
115583298749
122635544076
1312c713a420
148b788bc94
155134d8ec0
hex3083e6b5a

13023210330 has 96 divisors (see below), whose sum is σ = 36604503936. Its totient is φ = 3193448832.

The previous prime is 13023210283. The next prime is 13023210353. The reversal of 13023210330 is 3301232031.

13023210330 is a `hidden beast` number, since 1 + 302 + 32 + 1 + 0 + 330 = 666.

13023210330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 286549 + ... + 328871.

It is an arithmetic number, because the mean of its divisors is an integer number (381296916).

Almost surely, 213023210330 is an apocalyptic number.

13023210330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023210330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302251968).

13023210330 is an abundant number, since it is smaller than the sum of its proper divisors (23581293606).

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

13023210330 is a wasteful number, since it uses less digits than its factorization.

13023210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42612 (or 42609 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13023210330 its reverse (3301232031), we get a palindrome (16324442361).

The spelling of 13023210330 in words is "thirteen billion, twenty-three million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 263 390 526 585 789 1170 1315 1578 2367 2630 3419 3945 4734 6838 7890 10257 11835 17095 20514 23670 30771 34190 42323 51285 61542 84646 102570 126969 153855 211615 253938 307710 380907 423230 550199 634845 761814 1100398 1269690 1650597 1904535 2750995 3301194 3809070 4951791 5501990 8252985 9903582 11130949 16505970 22261898 24758955 33392847 49517910 55654745 66785694 100178541 111309490 144702337 166964235 200357082 289404674 333928470 434107011 500892705 723511685 868214022 1001785410 1302321033 1447023370 2170535055 2604642066 4341070110 6511605165 13023210330