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12445114331300 = 22527173832730569
BaseRepresentation
bin1011010100011001101010…
…0111100111000010100100
31122001202000102012221220112
42311012122213213002210
53112400043232100200
642245112342552152
72423062351263140
oct265063247470244
948052012187815
1012445114331300
113a68a41662022
12148bb43738658
136c375282ca01
143104bd692220
15168ad52dd535
hexb519a9e70a4

12445114331300 has 144 divisors (see below), whose sum is σ = 32764742922240. Its totient is φ = 4005415587840.

The previous prime is 12445114331263. The next prime is 12445114331329. The reversal of 12445114331300 is 313341154421.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3192416 + ... + 5922984.

It is an arithmetic number, because the mean of its divisors is an integer number (227532936960).

Almost surely, 212445114331300 is an apocalyptic number.

12445114331300 is a gapful number since it is divisible by the number (10) 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 12445114331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382371461120).

12445114331300 is an abundant number, since it is smaller than the sum of its proper divisors (20319628590940).

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

12445114331300 is a wasteful number, since it uses less digits than its factorization.

12445114331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730990 (or 2730983 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 12445114331300 its reverse (313341154421), we get a palindrome (12758455485721).

The spelling of 12445114331300 in words is "twelve trillion, four hundred forty-five billion, one hundred fourteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 383 425 476 595 700 766 850 1190 1532 1700 1915 2380 2681 2975 3830 5362 5950 6511 7660 9575 10724 11900 13022 13405 19150 26044 26810 32555 38300 45577 53620 65110 67025 91154 130220 134050 162775 182308 227885 268100 325550 455770 651100 911540 1139425 2278850 2730569 4557700 5461138 10922276 13652845 19113983 27305690 38227966 46419673 54611380 68264225 76455932 92839346 95569915 136528450 185678692 191139830 232098365 273056900 324937711 382279660 464196730 477849575 649875422 928393460 955699150 1045807927 1160491825 1299750844 1624688555 1911398300 2091615854 2320983650 3249377110 4183231708 4641967300 5229039635 6498754220 7320655489 8123442775 10458079270 14641310978 16246885550 17778734759 20916158540 26145198175 29282621956 32493771100 35557469518 36603277445 52290396350 71114939036 73206554890 88893673795 104580792700 124451143313 146413109780 177787347590 183016387225 248902286626 355574695180 366032774450 444468368975 497804573252 622255716565 732065548900 888936737950 1244511433130 1777873475900 2489022866260 3111278582825 6222557165650 12445114331300