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2124241024 = 2731975519
BaseRepresentation
bin111111010011101…
…0101100010000000
312111001010121212111
41332213111202000
513322301203044
6550441505104
7103432515343
oct17647254200
95431117774
102124241024
119a00957a4
124b34a2194
1327b127769
1416219a45a
15c6754b34
hex7e9d5880

2124241024 has 64 divisors (see below), whose sum is σ = 4414233600. Its totient is φ = 1017077760.

The previous prime is 2124241013. The next prime is 2124241057. The reversal of 2124241024 is 4201424212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2124240986 and 2124241004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382137 + ... + 387655.

It is an arithmetic number, because the mean of its divisors is an integer number (68972400).

Almost surely, 22124241024 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 2124241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207116800).

2124241024 is an abundant number, since it is smaller than the sum of its proper divisors (2289992576).

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

2124241024 is an equidigital number, since it uses as much as digits as its factorization.

2124241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2124241024 is about 46089.4893007072. The cubic root of 2124241024 is about 1285.4877150622.

Adding to 2124241024 its reverse (4201424212), we get a palindrome (6325665236).

The spelling of 2124241024 in words is "two billion, one hundred twenty-four million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 97 124 128 194 248 388 496 776 992 1552 1984 3007 3104 3968 5519 6014 6208 11038 12028 12416 22076 24056 44152 48112 88304 96224 171089 176608 192448 342178 353216 384896 535343 684356 706432 1070686 1368712 2141372 2737424 4282744 5474848 8565488 10949696 16595633 17130976 21899392 33191266 34261952 66382532 68523904 132765064 265530128 531060256 1062120512 2124241024