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13300002330 = 235291091391009
BaseRepresentation
bin11000110001011110…
…11110111000011010
31021022220022010021220
430120233132320122
5204214300033310
610035425112510
7650405103666
oct143057367032
937286263256
1013300002330
11570556066a
1226b2188736
13133c5a0884
1490253d8a6
1552c961670
hex318bdee1a

13300002330 has 128 divisors (see below), whose sum is σ = 33596640000. Its totient is φ = 3365203968.

The previous prime is 13300002293. The next prime is 13300002347. The reversal of 13300002330 is 3320000331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13180866 + ... + 13181874.

It is an arithmetic number, because the mean of its divisors is an integer number (262473750).

Almost surely, 213300002330 is an apocalyptic number.

13300002330 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 13300002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798320000).

13300002330 is an abundant number, since it is smaller than the sum of its proper divisors (20296637670).

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

13300002330 is a wasteful number, since it uses less digits than its factorization.

13300002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 13300002330 its reverse (3320000331), we get a palindrome (16620002661).

The spelling of 13300002330 in words is "thirteen billion, three hundred million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 109 139 145 174 218 278 290 327 417 435 545 654 695 834 870 1009 1090 1390 1635 2018 2085 3027 3161 3270 4031 4170 5045 6054 6322 8062 9483 10090 12093 15135 15151 15805 18966 20155 24186 29261 30270 30302 31610 40310 45453 47415 58522 60465 75755 87783 90906 94830 109981 120930 140251 146305 151510 175566 219962 227265 280502 292610 329943 420753 438915 439379 454530 549905 659886 701255 841506 877830 878758 1099810 1318137 1402510 1649715 2103765 2196895 2636274 3189449 3299430 4067279 4207530 4393790 6378898 6590685 8134558 9568347 12201837 13181370 15287359 15947245 19136694 20336395 24403674 30574718 31894490 40672790 45862077 47841735 61009185 76436795 91724154 95683470 122018370 152873590 229310385 443333411 458620770 886666822 1330000233 2216667055 2660000466 4433334110 6650001165 13300002330