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12330303232 = 2813191091789
BaseRepresentation
bin10110111101111000…
…10111111100000000
31011211022122022012111
423132330113330000
5200223024200412
65355305105104
7614361563632
oct133674277400
934738568174
1012330303232
115258153355
122481488194
131216712620
1484d83ca52
154c27682a7
hex2def17f00

12330303232 has 144 divisors (see below), whose sum is σ = 28172452000. Its totient is φ = 5338939392.

The previous prime is 12330303211. The next prime is 12330303241. The reversal of 12330303232 is 23230303321.

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, 6891394 + ... + 6893182.

Almost surely, 212330303232 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 12330303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086226000).

12330303232 is an abundant number, since it is smaller than the sum of its proper divisors (15842148768).

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

12330303232 is a wasteful number, since it uses less digits than its factorization.

12330303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 12330303232 its reverse (23230303321), we get a palindrome (35560606553).

The spelling of 12330303232 in words is "twelve billion, three hundred thirty million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 109 128 152 208 218 247 256 304 416 436 494 608 832 872 988 1216 1417 1664 1744 1789 1976 2071 2432 2834 3328 3488 3578 3952 4142 4864 5668 6976 7156 7904 8284 11336 13952 14312 15808 16568 22672 23257 26923 27904 28624 31616 33136 33991 45344 46514 53846 57248 63232 66272 67982 90688 93028 107692 114496 132544 135964 181376 186056 195001 215384 228992 265088 271928 362752 372112 390002 430768 441883 457984 530176 543856 744224 780004 861536 883766 1087712 1488448 1560008 1723072 1767532 2175424 2535013 2976896 3120016 3446144 3535064 3705019 4350848 5070026 5953792 6240032 6892288 7070128 7410038 8701696 10140052 12480064 14140256 14820076 20280104 24960128 28280512 29640152 40560208 48165247 49920256 56561024 59280304 81120416 96330494 113122048 118560608 162240832 192660988 237121216 324481664 385321976 474242432 648963328 770643952 948484864 1541287904 3082575808 6165151616 12330303232