Search a number
-
+
11202251328 = 263219448353
BaseRepresentation
bin10100110111011010…
…01100101001000000
31001220201000022220100
422123231030221000
5140420234020303
65051331042400
7544413364602
oct123355145100
931821008810
1011202251328
114829419254
122207740400
131096abc5a8
14783abb172
154586e08a3
hex29bb4ca40

11202251328 has 42 divisors (see below), whose sum is σ = 32109232454. Its totient is φ = 3734083584.

The previous prime is 11202251323. The next prime is 11202251351. The reversal of 11202251328 is 82315220211.

11202251328 is a `hidden beast` number, since 1 + 120 + 2 + 2 + 513 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10389317184 + 812934144 = 101928^2 + 28512^2 .

It is not an unprimeable number, because it can be changed into a prime (11202251323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9723601 + ... + 9724752.

Almost surely, 211202251328 is an apocalyptic number.

11202251328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11202251328 is an abundant number, since it is smaller than the sum of its proper divisors (20906981126).

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

11202251328 is a wasteful number, since it uses less digits than its factorization.

11202251328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19448371 (or 19448358 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11202251328 its reverse (82315220211), we get a palindrome (93517471539).

The spelling of 11202251328 in words is "eleven billion, two hundred two million, two hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19448353 38896706 58345059 77793412 116690118 155586824 175035177 233380236 311173648 350070354 466760472 622347296 700140708 933520944 1244694592 1400281416 1867041888 2800562832 3734083776 5601125664 11202251328