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123104140140345 = 357132512771297139
BaseRepresentation
bin11011111111011001101010…
…100010110001111100111001
3121010212122022012002120111120
4123333121222202301330321
5112113414234333442340
61113453132233015453
734633660232056620
oct3377315242617471
9533778265076446
10123104140140345
1136252199877781
12119824a7554589
13538c894416ba0
1422583b4bba6b7
15e3734b7dc4d0
hex6ff66a8b1f39

123104140140345 has 128 divisors (see below), whose sum is σ = 244265118289920. Its totient is φ = 51553452672000.

The previous prime is 123104140140341. The next prime is 123104140140353. The reversal of 123104140140345 is 543041041401321.

It is not a de Polignac number, because 123104140140345 - 22 = 123104140140341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123104140140341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94255786 + ... + 95552924.

It is an arithmetic number, because the mean of its divisors is an integer number (1908321236640).

Almost surely, 2123104140140345 is an apocalyptic number.

123104140140345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123104140140345 is a deficient number, since it is larger than the sum of its proper divisors (121160978149575).

123104140140345 is a wasteful number, since it uses less digits than its factorization.

123104140140345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297695.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 123104140140345 its reverse (543041041401321), we get a palindrome (666145181541666).

The spelling of 123104140140345 in words is "one hundred twenty-three trillion, one hundred four billion, one hundred forty million, one hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 251 273 277 455 753 831 1255 1365 1385 1757 1939 3263 3601 3765 4155 5271 5817 8785 9695 9789 10803 16315 18005 22841 25207 26355 29085 48945 54015 68523 69527 75621 114205 126035 208581 342615 347635 378105 486689 903851 1042905 1297139 1460067 2433445 2711553 3891417 4519255 6326957 6485695 7300335 9079973 13557765 16862807 18980871 19457085 27239919 31634785 45399865 50588421 84314035 94904355 118039649 136199595 252942105 325581889 354118947 359307503 590198245 976745667 1077922509 1627909445 1770594735 1796537515 2279073223 2515152521 4232564557 4670997539 4883728335 5389612545 6837219669 7545457563 11395366115 12575762605 12697693671 14012992617 21162822785 23354987695 29627951899 32696982773 34186098345 37727287815 63488468355 70064963085 88883855697 90186183253 98090948319 148139759495 163484913865 270558549759 444419278485 450930916265 490454741595 631303282771 1172420382289 1352792748795 1893909848313 3156516413855 3517261146867 5862101911445 8206942676023 9469549241565 17586305734335 24620828028069 41034713380115 123104140140345