Search a number
-
+
11212360320 = 273572119179
BaseRepresentation
bin10100111000100111…
…10000101010000000
31001221102000220211110
422130103300222000
5140430331012240
65052331443320
7544565330100
oct123423605200
931842026743
1011212360320
1148340a3297
12220abb6540
131098c1b945
1478518d200
1545953ac80
hex29c4f0a80

11212360320 has 192 divisors, whose sum is σ = 41574751200. Its totient is φ = 2562803712.

The previous prime is 11212360309. The next prime is 11212360331. The reversal of 11212360320 is 2306321211.

It is an interprime number because it is at equal distance from previous prime (11212360309) and next prime (11212360331).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34491 + ... + 153669.

Almost surely, 211212360320 is an apocalyptic number.

11212360320 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 11212360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787375600).

11212360320 is an abundant number, since it is smaller than the sum of its proper divisors (30362390880).

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

11212360320 is a wasteful number, since it uses less digits than its factorization.

11212360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119215 (or 119196 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11212360320 its reverse (2306321211), we get a palindrome (13518681531).

The spelling of 11212360320 in words is "eleven billion, two hundred twelve million, three hundred sixty thousand, three hundred twenty".