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12053221024 = 2513231259743
BaseRepresentation
bin10110011100110110…
…11000111010100000
31011010000021001212111
423032123120322200
5144141111033044
65312010205104
7604455455035
oct131633307240
934100231774
1012053221024
115125802399
122404723794
1311a11aa060
14824b1338c
154a8284b34
hex2ce6d8ea0

12053221024 has 48 divisors (see below), whose sum is σ = 26666260992. Its totient is φ = 5321150208.

The previous prime is 12053221013. The next prime is 12053221039. The reversal of 12053221024 is 42012235021.

It is a happy number.

12053221024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12053220986 and 12053221004.

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 7 ways as a sum of consecutive naturals, for example, 620304 + ... + 639439.

It is an arithmetic number, because the mean of its divisors is an integer number (555547104).

Almost surely, 212053221024 is an apocalyptic number.

It is an amenable number.

12053221024 is an abundant number, since it is smaller than the sum of its proper divisors (14613039968).

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

12053221024 is a wasteful number, since it uses less digits than its factorization.

12053221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259789 (or 1259781 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12053221024 its reverse (42012235021), we get a palindrome (54065456045).

The spelling of 12053221024 in words is "twelve billion, fifty-three million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 1259743 2519486 5038972 10077944 16376659 20155888 28974089 32753318 40311776 57948178 65506636 115896356 131013272 231792712 262026544 376663157 463585424 524053088 753326314 927170848 1506652628 3013305256 6026610512 12053221024