Search a number
-
+
1114442332300 = 22521141107230939
BaseRepresentation
bin10000001101111001111…
…100000111100010001100
310221112120101212021011001
4100031321330013202030
5121224334214113200
62211545010510044
7143341630345423
oct20157174074214
93845511767131
101114442332300
1139a6a5709010
1215bba0595324
1381125c2aa2b
143bd216042ba
151dec885a76a
hex10379f0788c

1114442332300 has 144 divisors (see below), whose sum is σ = 2727804159360. Its totient is φ = 391670848000.

The previous prime is 1114442332279. The next prime is 1114442332303. The reversal of 1114442332300 is 32332444111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1114442332303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4710231 + ... + 4941169.

It is an arithmetic number, because the mean of its divisors is an integer number (18943084440).

Almost surely, 21114442332300 is an apocalyptic number.

1114442332300 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 1114442332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363902079680).

1114442332300 is an abundant number, since it is smaller than the sum of its proper divisors (1613361827060).

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

1114442332300 is a wasteful number, since it uses less digits than its factorization.

1114442332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231112 (or 231105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1114442332300 its reverse (32332444111), we get a palindrome (1146774776411).

The spelling of 1114442332300 in words is "one trillion, one hundred fourteen billion, four hundred forty-two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 107 110 164 205 214 220 275 410 428 451 535 550 820 902 1025 1070 1100 1177 1804 2050 2140 2255 2354 2675 4100 4387 4510 4708 5350 5885 8774 9020 10700 11275 11770 17548 21935 22550 23540 29425 43870 45100 48257 58850 87740 96514 109675 117700 193028 219350 230939 241285 438700 461878 482570 923756 965140 1154695 1206425 2309390 2412850 2540329 4618780 4825700 5080658 5773475 9468499 10161316 11546950 12701645 18936998 23093900 24710473 25403290 37873996 47342495 49420946 50806580 63508225 94684990 98841892 104153489 123552365 127016450 189369980 208306978 236712475 247104730 254032900 271815203 416613956 473424950 494209460 520767445 543630406 617761825 946849900 1013129393 1041534890 1087260812 1235523650 1359076015 2026258786 2083069780 2471047300 2603837225 2718152030 4052517572 5065646965 5207674450 5436304060 6795380075 10131293930 10415348900 11144423323 13590760150 20262587860 22288846646 25328234825 27181520300 44577693292 50656469650 55722116615 101312939300 111444233230 222888466460 278610583075 557221166150 1114442332300