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11332232320 = 275191019227
BaseRepresentation
bin10101000110111010…
…00010010010000000
31002020202121001022011
422203131002102000
5141202022413240
65112253022304
7550552246123
oct124335022200
932222531264
1011332232320
114895827962
122243184994
1310b79cc516
147970743ba
15464d186ea
hex2a3742480

11332232320 has 128 divisors (see below), whose sum is σ = 28802433600. Its totient is φ = 4251340800.

The previous prime is 11332232297. The next prime is 11332232323. The reversal of 11332232320 is 2323223311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11332232291 and 11332232300.

It is not an unprimeable number, because it can be changed into a prime (11332232323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223547 + ... + 1232773.

Almost surely, 211332232320 is an apocalyptic number.

11332232320 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 11332232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401216800).

11332232320 is an abundant number, since it is smaller than the sum of its proper divisors (17470201280).

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

11332232320 is a wasteful number, since it uses less digits than its factorization.

11332232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 11332232320 its reverse (2323223311), we get a palindrome (13655455631).

Subtracting from 11332232320 its reverse (2323223311), we obtain a palindrome (9009009009).

The spelling of 11332232320 in words is "eleven billion, three hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 101 128 152 160 190 202 304 320 380 404 505 608 640 760 808 1010 1216 1520 1616 1919 2020 2432 3040 3232 3838 4040 6080 6464 7676 8080 9227 9595 12160 12928 15352 16160 18454 19190 30704 32320 36908 38380 46135 61408 64640 73816 76760 92270 122816 147632 153520 175313 184540 245632 295264 307040 350626 369080 590528 614080 701252 738160 876565 931927 1181056 1228160 1402504 1476320 1753130 1863854 2805008 2952640 3506260 3727708 4659635 5610016 5905280 7012520 7455416 9319270 11220032 14025040 14910832 17706613 18638540 22440064 28050080 29821664 35413226 37277080 56100160 59643328 70826452 74554160 88533065 112200320 119286656 141652904 149108320 177066130 283305808 298216640 354132260 566611616 596433280 708264520 1133223232 1416529040 2266446464 2833058080 5666116160 11332232320