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13321300212330 = 23511701271921179
BaseRepresentation
bin1100000111011001101101…
…0111011111101001101010
31202011111121022112110021120
43001312123113133221222
53221224010323243310
644155415411120110
72543301144344325
oct301663327375152
952144538473246
1013321300212330
114276593758860
1215b19105a3036
13758268672456
14340a7bdc77bc
151817b6ce4b70
hexc1d9b5dfa6a

13321300212330 has 128 divisors (see below), whose sum is σ = 34941835468800. Its totient is φ = 3223461024000.

The previous prime is 13321300212323. The next prime is 13321300212347. The reversal of 13321300212330 is 3321200312331.

It is a self number, because there is not a number n which added to its sum of digits gives 13321300212330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628975681 + ... + 628996859.

It is an arithmetic number, because the mean of its divisors is an integer number (272983089600).

Almost surely, 213321300212330 is an apocalyptic number.

13321300212330 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 13321300212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470917734400).

13321300212330 is an abundant number, since it is smaller than the sum of its proper divisors (21620535256470).

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

13321300212330 is a wasteful number, since it uses less digits than its factorization.

13321300212330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24620.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13321300212330 its reverse (3321200312331), we get a palindrome (16642500524661).

The spelling of 13321300212330 in words is "thirteen trillion, three hundred twenty-one billion, three hundred million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 701 1402 2103 2719 3505 4206 5438 7010 7711 8157 10515 13595 15422 16314 21030 21179 23133 27190 29909 38555 40785 42358 46266 59818 63537 77110 81570 89727 105895 115665 127074 149545 179454 211790 231330 232969 299090 317685 448635 465938 635370 698907 897270 1164845 1397814 1906019 2329690 3494535 3812038 5718057 6989070 9530095 11436114 14846479 19060190 20966209 28590285 29692958 41932418 44539437 57180570 57585701 62898627 74232395 89078874 104831045 115171402 125797254 148464790 163311269 172757103 209662090 222697185 287928505 314493135 326622538 345514206 445394370 489933807 575857010 628986270 633442711 816556345 863785515 979867614 1266885422 1633112690 1727571030 1900328133 2449669035 3167213555 3800656266 4899338070 6334427110 9501640665 19003281330 40367576401 80735152802 121102729203 201837882005 242205458406 403675764010 444043340411 605513646015 888086680822 1211027292030 1332130021233 2220216702055 2664260042466 4440433404110 6660650106165 13321300212330