Search a number
-
+
114003302200 = 235217191764757
BaseRepresentation
bin110101000101100100…
…0000101011100111000
3101220021002022210120221
41222023020011130320
53331434321132300
6124212234225424
711144052036304
oct1521310053470
9356232283527
10114003302200
114439198a327
121a117585274
13a99aa06688
145736b56d04
152e737c131a
hex1a8b205738

114003302200 has 96 divisors (see below), whose sum is σ = 295420489200. Its totient is φ = 40659978240.

The previous prime is 114003302197. The next prime is 114003302221. The reversal of 114003302200 is 2203300411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817779 + ... + 946978.

Almost surely, 2114003302200 is an apocalyptic number.

114003302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114003302200 is an abundant number, since it is smaller than the sum of its proper divisors (181417187000).

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

114003302200 is a wasteful number, since it uses less digits than its factorization.

114003302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764809 (or 1764800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 114003302200 its reverse (2203300411), we get a palindrome (116206602611).

The spelling of 114003302200 in words is "one hundred fourteen billion, three million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 136 152 170 190 200 323 340 380 425 475 646 680 760 850 950 1292 1615 1700 1900 2584 3230 3400 3800 6460 8075 12920 16150 32300 64600 1764757 3529514 7059028 8823785 14118056 17647570 30000869 33530383 35295140 44118925 60001738 67060766 70590280 88237850 120003476 134121532 150004345 167651915 176475700 240006952 268243064 300008690 335303830 352951400 570016511 600017380 670607660 750021725 838259575 1140033022 1200034760 1341215320 1500043450 1676519150 2280066044 2850082555 3000086900 3353038300 4560132088 5700165110 6000173800 6706076600 11400330220 14250412775 22800660440 28500825550 57001651100 114003302200