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11421312141100 = 2252477389374029
BaseRepresentation
bin1010011000110011101101…
…0000001100011100101100
31111102212101212202222202111
42212030323100030130230
52444111321402003400
640142513420533404
72256106522246441
oct246147320143454
944385355688674
1011421312141100
113703829a50364
12134563a3b1264
1364b043236274
142b6b19dc19c8
1514c16410b3ba
hexa633b40c72c

11421312141100 has 144 divisors (see below), whose sum is σ = 25946670556800. Its totient is φ = 4360508190720.

The previous prime is 11421312141073. The next prime is 11421312141119. The reversal of 11421312141100 is 114121312411.

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, 30348886 + ... + 30722914.

It is an arithmetic number, because the mean of its divisors is an integer number (180185212200).

Almost surely, 211421312141100 is an apocalyptic number.

11421312141100 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 11421312141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973335278400).

11421312141100 is an abundant number, since it is smaller than the sum of its proper divisors (14525358415700).

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

11421312141100 is a wasteful number, since it uses less digits than its factorization.

11421312141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374252 (or 374245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 11421312141100 its reverse (114121312411), we get a palindrome (11535433453511).

The spelling of 11421312141100 in words is "eleven trillion, four hundred twenty-one billion, three hundred twelve million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 73 89 94 100 146 178 188 235 292 356 365 445 470 730 890 940 1175 1460 1780 1825 2225 2350 3431 3650 4183 4450 4700 6497 6862 7300 8366 8900 12994 13724 16732 17155 20915 25988 32485 34310 41830 64970 68620 83660 85775 104575 129940 162425 171550 209150 305359 324850 343100 374029 418300 610718 649700 748058 1221436 1496116 1526795 1870145 3053590 3740290 6107180 7480580 7633975 9350725 15267950 17579363 18701450 27304117 30535900 33288581 35158726 37402900 54608234 66577162 70317452 87896815 109216468 133154324 136520585 166442905 175793630 273041170 332885810 351587260 439484075 546082340 665771620 682602925 832214525 878968150 1283293499 1365205850 1564563307 1664429050 1757936300 2430066413 2566586998 2730411700 3129126614 3328858100 4860132826 5133173996 6258253228 6416467495 7822816535 9720265652 12150332065 12832934990 15645633070 24300664130 25665869980 31291266140 32082337475 39114082675 48601328260 60751660325 64164674950 78228165350 114213121411 121503320650 128329349900 156456330700 228426242822 243006641300 456852485644 571065607055 1142131214110 2284262428220 2855328035275 5710656070550 11421312141100