Search a number
-
+
11301131232 = 253357722669
BaseRepresentation
bin10101000011001100…
…11001001111100000
31002011121001221122000
422201212121033200
5141121042144412
65105222244000
7550024013316
oct124146311740
932147057560
1011301131232
11487a215186
122234886600
1310b1430301
14792c9a0b6
154622234dc
hex2a19993e0

11301131232 has 96 divisors (see below), whose sum is σ = 33020215200. Its totient is φ = 3760349184.

The previous prime is 11301131221. The next prime is 11301131311. The reversal of 11301131232 is 23213110311.

11301131232 is a `hidden beast` number, since 1 + 1 + 301 + 131 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487194 + ... + 509862.

It is an arithmetic number, because the mean of its divisors is an integer number (343960575).

Almost surely, 211301131232 is an apocalyptic number.

11301131232 is a gapful number since it is divisible by the number (12) 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 11301131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510107600).

11301131232 is an abundant number, since it is smaller than the sum of its proper divisors (21719083968).

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

11301131232 is a wasteful number, since it uses less digits than its factorization.

11301131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23265 (or 23251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11301131232 its reverse (23213110311), we get a palindrome (34514241543).

The spelling of 11301131232 in words is "eleven billion, three hundred one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 577 864 1154 1731 2308 3462 4616 5193 6924 9232 10386 13848 15579 18464 20772 22669 27696 31158 41544 45338 55392 62316 68007 83088 90676 124632 136014 166176 181352 204021 249264 272028 362704 408042 498528 544056 612063 725408 816084 1088112 1224126 1632168 2176224 2448252 3264336 4896504 6528672 9793008 13080013 19586016 26160026 39240039 52320052 78480078 104640104 117720117 156960156 209280208 235440234 313920312 353160351 418560416 470880468 627840624 706320702 941760936 1255681248 1412641404 1883521872 2825282808 3767043744 5650565616 11301131232