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12410132232 = 2334189141707
BaseRepresentation
bin10111000111011001…
…11001011100001000
31012000212212001000010
423203230321130020
5200403443212412
65411240111520
7616351245351
oct134354713410
935025761003
1012410132232
115299218033
1224a41655a0
13122a112c14
1485a29cd28
154c978633c
hex2e3b39708

12410132232 has 64 divisors (see below), whose sum is σ = 32139374400. Its totient is φ = 3990440960.

The previous prime is 12410132221. The next prime is 12410132237. The reversal of 12410132232 is 23223101421.

12410132232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124101322322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12410132199 and 12410132208.

It is not an unprimeable number, because it can be changed into a prime (12410132237) 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 15 ways as a sum of consecutive naturals, for example, 16723 + ... + 158429.

It is an arithmetic number, because the mean of its divisors is an integer number (502177725).

Almost surely, 212410132232 is an apocalyptic number.

12410132232 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 12410132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069687200).

12410132232 is an abundant number, since it is smaller than the sum of its proper divisors (19729242168).

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

12410132232 is a wasteful number, since it uses less digits than its factorization.

12410132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141846 (or 141842 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12410132232 its reverse (23223101421), we get a palindrome (35633233653).

The spelling of 12410132232 in words is "twelve billion, four hundred ten million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 89 123 164 178 246 267 328 356 492 534 712 984 1068 2136 3649 7298 10947 14596 21894 29192 43788 87576 141707 283414 425121 566828 850242 1133656 1700484 3400968 5809987 11619974 12611923 17429961 23239948 25223846 34859922 37835769 46479896 50447692 69719844 75671538 100895384 139439688 151343076 302686152 517088843 1034177686 1551266529 2068355372 3102533058 4136710744 6205066116 12410132232