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13300324002312 = 23317314861216329
BaseRepresentation
bin1100000110001011100100…
…0101100110101000001000
31202002111110110002120122020
43001202321011212220020
53220403030421033222
644142030130124440
72541626266452144
oct301427105465010
952074413076566
1013300324002312
1142686aa1847a6
1215a9837720720
137562a4969b69
1433da4c1c8224
15180e8a4e665c
hexc18b9166a08

13300324002312 has 128 divisors (see below), whose sum is σ = 36350085657600. Its totient is φ = 4037199667200.

The previous prime is 13300324002241. The next prime is 13300324002341. The reversal of 13300324002312 is 21320042300331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 61373764 + ... + 61590092.

It is an arithmetic number, because the mean of its divisors is an integer number (283985044200).

Almost surely, 213300324002312 is an apocalyptic number.

13300324002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300324002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175042828800).

13300324002312 is an abundant number, since it is smaller than the sum of its proper divisors (23049761655288).

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

13300324002312 is a wasteful number, since it uses less digits than its factorization.

13300324002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221247 (or 221243 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13300324002312 its reverse (21320042300331), we get a palindrome (34620366302643).

The spelling of 13300324002312 in words is "thirteen trillion, three hundred billion, three hundred twenty-four million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 4861 6324 9722 12648 14583 19444 29166 38888 58332 82637 116664 150691 165274 216329 247911 301382 330548 432658 452073 495822 602764 648987 661096 865316 904146 991644 1205528 1297974 1730632 1808292 1983288 2561747 2595948 3616584 3677593 5123494 5191896 6706199 7355186 7685241 10246988 11032779 13412398 14710372 15370482 20118597 20493976 22065558 26824796 29420744 30740964 40237194 44131116 53649592 61481928 80474388 88262232 114005383 160948776 228010766 342016149 456021532 684032298 912043064 1051575269 1368064596 2103150538 2736129192 3154725807 4206301076 6309451614 8412602152 12618903228 17876779573 25237806456 32598833339 35753559146 53630338719 65197666678 71507118292 97796500017 107260677438 130395333356 143014236584 195593000034 214521354876 260790666712 391186000068 429042709752 554180166763 782372000136 1108360333526 1662540500289 2216720667052 3325081000578 4433441334104 6650162001156 13300324002312