Search a number
-
+
12024341710700 = 22521153853241793
BaseRepresentation
bin1010111011111010001010…
…0111011100011101101100
31120120111221001022010110012
42232332202213130131230
53034001322434220300
641323523433232352
72350505253104054
oct256764247343554
946514831263405
1012024341710700
113916549470390
1214224938626b8
13692b7672c0b7
142d7da4768564
1515cba9e0e435
hexaefa29dc76c

12024341710700 has 144 divisors (see below), whose sum is σ = 29036089758816. Its totient is φ = 4284941107200.

The previous prime is 12024341710697. The next prime is 12024341710841. The reversal of 12024341710700 is 701714342021.

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, 49609004 + ... + 49850796.

It is an arithmetic number, because the mean of its divisors is an integer number (201639512214).

Almost surely, 212024341710700 is an apocalyptic number.

12024341710700 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 12024341710700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14518044879408).

12024341710700 is an abundant number, since it is smaller than the sum of its proper divisors (17011748048116).

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

12024341710700 is a wasteful number, since it uses less digits than its factorization.

12024341710700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242724 (or 242717 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 12024341710700 in words is "twelve trillion, twenty-four billion, three hundred forty-one million, seven hundred ten thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 853 1060 1100 1166 1325 1706 2332 2650 2915 3412 4265 5300 5830 8530 9383 11660 14575 17060 18766 21325 29150 37532 42650 45209 46915 58300 85300 90418 93830 180836 187660 226045 234575 241793 452090 469150 483586 497299 904180 938300 967172 994598 1130225 1208965 1989196 2260450 2417930 2486495 2659723 4520900 4835860 4972990 5319446 6044825 9945980 10638892 12089650 12432475 12815029 13298615 24179300 24864950 25630058 26597230 49729900 51260116 53194460 64075145 66493075 128150290 132986150 140965319 206249429 256300580 265972300 281930638 320375725 412498858 563861276 640751450 704826595 824997716 1031247145 1281502900 1409653190 2062494290 2268743719 2819306380 3524132975 4124988580 4537487438 5156235725 7048265950 9074974876 10312471450 10931219737 11343718595 14096531900 20624942900 21862439474 22687437190 43724878948 45374874380 54656098685 56718592975 109312197370 113437185950 120243417107 218624394740 226874371900 240486834214 273280493425 480973668428 546560986850 601217085535 1093121973700 1202434171070 2404868342140 3006085427675 6012170855350 12024341710700