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2123321120 = 25541674831
BaseRepresentation
bin111111010001111…
…0100111100100000
312110222101212222222
41332203310330200
513322032233440
6550410050212
7103421634404
oct17643647440
95428355888
102123321120
1199a617648
124b3119968
1327ab94b3b
14161ddb104
15c66222b5
hex7e8f4f20

2123321120 has 96 divisors (see below), whose sum is σ = 5216472576. Its totient is φ = 816076800.

The previous prime is 2123321119. The next prime is 2123321129. The reversal of 2123321120 is 211233212.

It is not an unprimeable number, because it can be changed into a prime (2123321129) 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, 437105 + ... + 441935.

It is an arithmetic number, because the mean of its divisors is an integer number (54338256).

Almost surely, 22123321120 is an apocalyptic number.

2123321120 is a gapful number since it is divisible by the number (20) 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 2123321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608236288).

2123321120 is an abundant number, since it is smaller than the sum of its proper divisors (3093151456).

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

2123321120 is a wasteful number, since it uses less digits than its factorization.

2123321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2123321120 is about 46079.5086779362. The cubic root of 2123321120 is about 1285.3021278310.

Adding to 2123321120 its reverse (211233212), we get a palindrome (2334554332).

The spelling of 2123321120 in words is "two billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 67 80 82 134 160 164 205 268 328 335 410 536 656 670 820 1072 1312 1340 1640 2144 2680 2747 3280 4831 5360 5494 6560 9662 10720 10988 13735 19324 21976 24155 27470 38648 43952 48310 54940 77296 87904 96620 109880 154592 193240 198071 219760 323677 386480 396142 439520 647354 772960 792284 990355 1294708 1584568 1618385 1980710 2589416 3169136 3236770 3961420 5178832 6338272 6473540 7922840 10357664 12947080 13270757 15845680 25894160 26541514 31691360 51788320 53083028 66353785 106166056 132707570 212332112 265415140 424664224 530830280 1061660560 2123321120