Search a number
-
+
11121503660 = 2253743834211
BaseRepresentation
bin10100101101110010…
…01010110110101100
31001201002001220220222
422112321022312230
5140234101104120
65035324230512
7542413135631
oct122671126654
931632056828
1011121503660
114797887343
1221a469b438
131083159ac7
1477709c188
15451590525
hex296e4adac

11121503660 has 96 divisors (see below), whose sum is σ = 24845812992. Its totient is φ = 4175781120.

The previous prime is 11121503641. The next prime is 11121503663. The reversal of 11121503660 is 6630512111.

It is not an unprimeable number, because it can be changed into a prime (11121503663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2638955 + ... + 2643165.

It is an arithmetic number, because the mean of its divisors is an integer number (258810552).

Almost surely, 211121503660 is an apocalyptic number.

11121503660 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 11121503660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422906496).

11121503660 is an abundant number, since it is smaller than the sum of its proper divisors (13724309332).

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

11121503660 is a wasteful number, since it uses less digits than its factorization.

11121503660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 11121503660 in words is "eleven billion, one hundred twenty-one million, five hundred three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 43 74 83 86 148 166 172 185 215 332 370 415 430 740 830 860 1591 1660 3071 3182 3569 4211 6142 6364 7138 7955 8422 12284 14276 15355 15910 16844 17845 21055 30710 31820 35690 42110 61420 71380 84220 132053 155807 181073 264106 311614 349513 362146 528212 623228 660265 699026 724292 779035 905365 1320530 1398052 1558070 1747565 1810730 2641060 3116140 3495130 3621460 6699701 6990260 12931981 13399402 15029059 25863962 26798804 30058118 33498505 51727924 60116236 64659905 66997010 75145295 129319810 133994020 150290590 258639620 300581180 556075183 1112150366 2224300732 2780375915 5560751830 11121503660