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13122311240304 = 2432719685166627
BaseRepresentation
bin1011111011110100011010…
…1100110011101001110000
31201110110222102200022102200
42332331012230303221300
53204443443134142204
643524150114543200
72523025051111620
oct276750654635160
951413872608380
1013122311240304
1141aa160662972
12157b237597b00
13742575951ba6
143351a22c4880
1517b51c4ce539
hexbef46b33a70

13122311240304 has 120 divisors (see below), whose sum is σ = 44179544173440. Its totient is φ = 3551903789184.

The previous prime is 13122311240299. The next prime is 13122311240317. The reversal of 13122311240304 is 40304211322131.

13122311240304 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 311 + 2 + 40 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342564162 + ... + 342602465.

It is an arithmetic number, because the mean of its divisors is an integer number (368162868112).

Almost surely, 213122311240304 is an apocalyptic number.

13122311240304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13122311240304 is an abundant number, since it is smaller than the sum of its proper divisors (31057232933136).

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

13122311240304 is a wasteful number, since it uses less digits than its factorization.

13122311240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685166667 (or 685166658 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13122311240304 its reverse (40304211322131), we get a palindrome (53426522562435).

The spelling of 13122311240304 in words is "thirteen trillion, one hundred twenty-two billion, three hundred eleven million, two hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 685166627 1370333254 2055499881 2740666508 4110999762 4796166389 5481333016 6166499643 8221999524 9592332778 10962666032 12332999286 13018165913 14388499167 16443999048 19184665556 24665998572 26036331826 28776998334 32887998096 38369331112 39054497739 43165497501 49331997144 52072663652 57553996668 76738662224 78108995478 86330995002 91127161391 98663994288 104145327304 115107993336 117163493217 156217990956 172661990004 182254322782 208290654608 230215986672 234326986434 273381484173 312435981912 345323980008 364508645564 468653972868 546762968346 624871963824 690647960016 729017291128 820144452519 937307945736 1093525936692 1458034582256 1640288905038 1874615891472 2187051873384 3280577810076 4374103746768 6561155620152 13122311240304