Search a number
-
+
114200512110 = 232547149181193
BaseRepresentation
bin110101001011011100…
…0011000011001101110
3101220202211102002201200
41222112320120121232
53332340312341420
6124244001150330
711151665223306
oct1522670303156
9356684362650
10114200512110
1144483237023
121a17162b3a6
13a9cc824a29
145755010606
152e85c78b90
hex1a96e1866e

114200512110 has 96 divisors (see below), whose sum is σ = 305275651200. Its totient is φ = 29605323264.

The previous prime is 114200511983. The next prime is 114200512169. The reversal of 114200512110 is 11215002411.

114200512110 is a `hidden beast` number, since 1 + 1 + 42 + 0 + 0 + 512 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 539674 + ... + 720866.

It is an arithmetic number, because the mean of its divisors is an integer number (3179954700).

Almost surely, 2114200512110 is an apocalyptic number.

114200512110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114200512110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152637825600).

114200512110 is an abundant number, since it is smaller than the sum of its proper divisors (191075139090).

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

114200512110 is a wasteful number, since it uses less digits than its factorization.

114200512110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181402 (or 181399 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 114200512110 its reverse (11215002411), we get a palindrome (125415514521).

The spelling of 114200512110 in words is "one hundred fourteen billion, two hundred million, five hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 149 235 282 298 423 447 470 705 745 846 894 1341 1410 1490 2115 2235 2682 4230 4470 6705 7003 13410 14006 21009 35015 42018 63027 70030 105045 126054 181193 210090 315135 362386 543579 630270 905965 1087158 1630737 1811930 2717895 3261474 5435790 8153685 8516071 16307370 17032142 25548213 26997757 42580355 51096426 53995514 76644639 80993271 85160710 127741065 134988785 153289278 161986542 242979813 255482130 269977570 383223195 404966355 485959626 766446390 809932710 1214899065 1268894579 2429798130 2537789158 3806683737 6344472895 7613367474 11420051211 12688945790 19033418685 22840102422 38066837370 57100256055 114200512110