Search a number
-
+
11703143232 = 2632112167917
BaseRepresentation
bin10101110011000111…
…11100101101000000
31010012121112021102100
422321203330231000
5142432001040412
65213142550400
7563005035054
oct127143745500
933177467370
1011703143232
114a66134800
122327438400
1311467c7631
147d0425c64
15487682edc
hex2b98fcb40

11703143232 has 126 divisors (see below), whose sum is σ = 36871938194. Its totient is φ = 3546385920.

The previous prime is 11703143183. The next prime is 11703143239. The reversal of 11703143232 is 23234130711.

It is a happy number.

11703143232 is a `hidden beast` number, since 1 + 170 + 31 + 432 + 32 = 666.

11703143232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9593027136 + 2110116096 = 97944^2 + 45936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11703143196 and 11703143205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11703143239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14263 + ... + 153654.

Almost surely, 211703143232 is an apocalyptic number.

11703143232 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 11703143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435969097).

11703143232 is an abundant number, since it is smaller than the sum of its proper divisors (25168794962).

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

11703143232 is a wasteful number, since it uses less digits than its factorization.

11703143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167957 (or 167933 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 11703143232 its reverse (23234130711), we get a palindrome (34937273943).

The spelling of 11703143232 in words is "eleven billion, seven hundred three million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 167917 335834 503751 671668 1007502 1343336 1511253 1847087 2015004 2686672 3022506 3694174 4030008 5373344 5541261 6045012 7388348 8060016 10746688 11082522 12090024 14776696 16120032 16623783 20317957 22165044 24180048 29553392 32240064 33247566 40635914 44330088 48360096 59106784 60953871 66495132 81271828 88660176 96720192 118213568 121907742 132990264 162543656 177320352 182861613 243815484 265980528 325087312 354640704 365723226 487630968 531961056 650174624 731446452 975261936 1063922112 1300349248 1462892904 1950523872 2925785808 3901047744 5851571616 11703143232