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12322232032 = 2511195334763
BaseRepresentation
bin10110111100111011…
…00101011011100000
31011210202110020121011
423132131211123200
5200213442411112
65354420110304
7614233146505
oct133635453340
934722406534
1012322232032
115253640340
12247a835394
131214b47976
1484c73b4ac
154c1bc1aa7
hex2de7656e0

12322232032 has 96 divisors (see below), whose sum is σ = 28384110720. Its totient is φ = 5205957120.

The previous prime is 12322232011. The next prime is 12322232057. The reversal of 12322232032 is 23023222321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12322231994 and 12322232012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337083 + ... + 371845.

It is an arithmetic number, because the mean of its divisors is an integer number (295667820).

Almost surely, 212322232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192055360).

12322232032 is an abundant number, since it is smaller than the sum of its proper divisors (16061878688).

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

12322232032 is a wasteful number, since it uses less digits than its factorization.

12322232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34856 (or 34848 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12322232032 its reverse (23023222321), we get a palindrome (35345454353).

The spelling of 12322232032 in words is "twelve billion, three hundred twenty-two million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 53 76 88 106 152 176 209 212 304 352 418 424 583 608 836 848 1007 1166 1672 1696 2014 2332 3344 4028 4664 6688 8056 9328 11077 16112 18656 22154 32224 34763 44308 69526 88616 139052 177232 278104 354464 382393 556208 660497 764786 1112416 1320994 1529572 1842439 2641988 3059144 3684878 5283976 6118288 7265467 7369756 10567952 12236576 14530934 14739512 20266829 21135904 29061868 29479024 35006341 40533658 58123736 58958048 70012682 81067316 116247472 140025364 162134632 232494944 280050728 324269264 385069751 560101456 648538528 770139502 1120202912 1540279004 3080558008 6161116016 12322232032