Search a number
-
+
11323432032 = 2531127738711
BaseRepresentation
bin10101000101110110…
…11101110001100000
31002020011000221120120
422202323131301200
5141142244311112
65111340240240
7550414404243
oct124273356140
932204027516
1011323432032
1148908670a0
122240240080
1310b5c3aa53
14795c2325a
1546417ae8c
hex2a2eddc60

11323432032 has 96 divisors (see below), whose sum is σ = 32544094464. Its totient is φ = 3418867200.

The previous prime is 11323432027. The next prime is 11323432051. The reversal of 11323432032 is 23023432311.

11323432032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×113234320322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11323431993 and 11323432011.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 273157 + ... + 311867.

It is an arithmetic number, because the mean of its divisors is an integer number (339000984).

Almost surely, 211323432032 is an apocalyptic number.

11323432032 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 11323432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272047232).

11323432032 is an abundant number, since it is smaller than the sum of its proper divisors (21220662432).

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

11323432032 is a wasteful number, since it uses less digits than its factorization.

11323432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39012 (or 39004 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11323432032 its reverse (23023432311), we get a palindrome (34346864343).

The spelling of 11323432032 in words is "eleven billion, three hundred twenty-three million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 277 352 528 554 831 1056 1108 1662 2216 3047 3324 4432 6094 6648 8864 9141 12188 13296 18282 24376 26592 36564 38711 48752 73128 77422 97504 116133 146256 154844 232266 292512 309688 425821 464532 619376 851642 929064 1238752 1277463 1703284 1858128 2554926 3406568 3716256 5109852 6813136 10219704 10722947 13626272 20439408 21445894 32168841 40878816 42891788 64337682 85783576 117952417 128675364 171567152 235904834 257350728 343134304 353857251 471809668 514701456 707714502 943619336 1029402912 1415429004 1887238672 2830858008 3774477344 5661716016 11323432032