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12332123210130 = 2354144367333629
BaseRepresentation
bin1011001101110100101111…
…0100101100000110010010
31121122221100212111021122220
42303131023310230012102
53104022142020211010
642121144343041510
72411652336506613
oct263351364540622
947587325437586
1012332123210130
113a2502a066349
12147206b140296
136b5bb6739a29
14308c41137c0a
15165bc0807970
hexb374bd2c192

12332123210130 has 128 divisors (see below), whose sum is σ = 30433473342720. Its totient is φ = 3196263383040.

The previous prime is 12332123210119. The next prime is 12332123210167. The reversal of 12332123210130 is 3101232123321.

12332123210130 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 2×123321232101302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12332123210130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366694156 + ... + 366727784.

It is an arithmetic number, because the mean of its divisors is an integer number (237761510490).

Almost surely, 212332123210130 is an apocalyptic number.

12332123210130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332123210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216736671360).

12332123210130 is an abundant number, since it is smaller than the sum of its proper divisors (18101350132590).

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

12332123210130 is a wasteful number, since it uses less digits than its factorization.

12332123210130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34796.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12332123210130 its reverse (3101232123321), we get a palindrome (15433355333451).

The spelling of 12332123210130 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty-three million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 443 615 673 886 1230 1329 1346 2019 2215 2658 3365 4038 4430 6645 6730 10095 13290 18163 20190 27593 33629 36326 54489 55186 67258 82779 90815 100887 108978 137965 165558 168145 181630 201774 272445 275930 298139 336290 413895 504435 544890 596278 827790 894417 1008870 1378789 1490695 1788834 2757578 2981390 4136367 4472085 6893945 8272734 8944170 12223699 13787890 14897647 20681835 22632317 24447398 29795294 36671097 41363670 44692941 45264634 61118495 67896951 73342194 74488235 89385882 113161585 122236990 135793902 148976470 183355485 223464705 226323170 339484755 366710970 446929410 610803527 678969510 927924997 1221607054 1832410581 1855849994 2783774991 3054017635 3664821162 4639624985 5567549982 6108035270 9162052905 9279249970 10026116431 13918874955 18324105810 20052232862 27837749910 30078349293 50130582155 60156698586 100261164310 150391746465 300783492930 411070773671 822141547342 1233212321013 2055353868355 2466424642026 4110707736710 6166061605065 12332123210130