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13300012311210 = 23251011917660459
BaseRepresentation
bin1100000110001010011010…
…0000100110001010101010
31202002110122201121000211100
43001202212200212022222
53220401411122424320
644141535153342230
72541615463230552
oct301424640461252
952073581530740
1013300012311210
11426855a245649
1215a976b267976
13756255207861
1433da1ca50162
15180e6ce78790
hexc18a68262aa

13300012311210 has 96 divisors (see below), whose sum is σ = 35105252981760. Its totient is φ = 3493168848000.

The previous prime is 13300012311197. The next prime is 13300012311241. The reversal of 13300012311210 is 1211321000331.

13300012311210 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 1 + 2 + 311 + 21 + 0 = 666.

It is a super-3 number, since 3×133000123112103 (a number of 40 digits) contains 333 as substring.

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

It is a Curzon number.

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, 2094040 + ... + 5566419.

It is an arithmetic number, because the mean of its divisors is an integer number (365679718560).

Almost surely, 213300012311210 is an apocalyptic number.

13300012311210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13300012311210 is an abundant number, since it is smaller than the sum of its proper divisors (21805240670550).

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

13300012311210 is a wasteful number, since it uses less digits than its factorization.

13300012311210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660764 (or 7660761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13300012311210 its reverse (1211321000331), we get a palindrome (14511333311541).

The spelling of 13300012311210 in words is "thirteen trillion, three hundred billion, twelve million, three hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 191 202 303 382 505 573 606 909 955 1010 1146 1515 1719 1818 1910 2865 3030 3438 4545 5730 8595 9090 17190 19291 38582 57873 96455 115746 173619 192910 289365 347238 578730 868095 1736190 7660459 15320918 22981377 38302295 45962754 68944131 76604590 114906885 137888262 229813770 344720655 689441310 773706359 1463147669 1547412718 2321119077 2926295338 3868531795 4389443007 4642238154 6963357231 7315738345 7737063590 8778886014 11605595385 13168329021 13926714462 14631476690 21947215035 23211190770 26336658042 34816786155 43894430070 65841645105 69633572310 131683290210 147777914569 295555829138 443333743707 738889572845 886667487414 1330001231121 1477779145690 2216668718535 2660002462242 4433337437070 6650006155605 13300012311210