Search a number
-
+
11200875255 = 32517101144967
BaseRepresentation
bin10100110111001111…
…11100101011110111
31001220121102102021200
422123213330223313
5140414411002010
65051241343543
7544365603663
oct123347745367
931817372250
1011200875255
1148286693a9
122207197bb3
13109672a14b
1478383d8a3
1545851ccc0
hex29b9fcaf7

11200875255 has 48 divisors (see below), whose sum is σ = 20760577344. Its totient is φ = 5566694400.

The previous prime is 11200875247. The next prime is 11200875299. The reversal of 11200875255 is 55257800211.

11200875255 is a `hidden beast` number, since 1 + 120 + 0 + 8 + 7 + 525 + 5 = 666.

It is not a de Polignac number, because 11200875255 - 23 = 11200875247 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4782 + ... + 149748.

It is an arithmetic number, because the mean of its divisors is an integer number (432512028).

Almost surely, 211200875255 is an apocalyptic number.

11200875255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11200875255 is a deficient number, since it is larger than the sum of its proper divisors (9559702089).

11200875255 is a wasteful number, since it uses less digits than its factorization.

11200875255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145096 (or 145093 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 11200875255 in words is "eleven billion, two hundred million, eight hundred seventy-five thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 101 153 255 303 505 765 909 1515 1717 4545 5151 8585 15453 25755 77265 144967 434901 724835 1304703 2174505 2464439 6523515 7393317 12322195 14641667 22179951 36966585 43925001 73208335 110899755 131775003 219625005 248908339 658875015 746725017 1244541695 2240175051 3733625085 11200875255