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1324212444100 = 2252713202971719
BaseRepresentation
bin10011010001010001001…
…101100101101111000100
311200121000122100001110001
4103101101031211233010
5133143441341202400
62452200152211044
7164446135025410
oct23212115455704
94617018301401
101324212444100
11470660447877
12194784099a84
1397b46416c40
14481410c5d40
15246a48cca6a
hex13451365bc4

1324212444100 has 144 divisors (see below), whose sum is σ = 3538458246400. Its totient is φ = 418879019520.

The previous prime is 1324212444097. The next prime is 1324212444133. The reversal of 1324212444100 is 14442124231.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 18428041 + ... + 18499759.

Almost surely, 21324212444100 is an apocalyptic number.

1324212444100 is a gapful number since it is divisible by the number (10) 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 1324212444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769229123200).

1324212444100 is an abundant number, since it is smaller than the sum of its proper divisors (2214245802300).

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

1324212444100 is a wasteful number, since it uses less digits than its factorization.

1324212444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73782 (or 73775 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1324212444100 its reverse (14442124231), we get a palindrome (1338654568331).

The spelling of 1324212444100 in words is "one trillion, three hundred twenty-four billion, two hundred twelve million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2029 2275 4058 4550 8116 9100 10145 14203 20290 26377 28406 40580 50725 52754 56812 71015 71719 101450 105508 131885 142030 143438 184639 202900 263770 284060 286876 355075 358595 369278 502033 527540 659425 710150 717190 738556 923195 932347 1004066 1318850 1420300 1434380 1792975 1846390 1864694 2008132 2510165 2637700 3585950 3692780 3729388 4615975 4661735 5020330 6526429 7171900 9231950 9323470 10040660 12550825 13052858 18463900 18646940 23308675 25101650 26105716 32632145 46617350 50203300 65264290 93234700 130528580 145517851 163160725 291035702 326321450 582071404 652642900 727589255 1018624957 1455178510 1891732063 2037249914 2910357020 3637946275 3783464126 4074499828 5093124785 7275892550 7566928252 9458660315 10186249570 13242124441 14551785100 18917320630 20372499140 25465623925 26484248882 37834641260 47293301575 50931247850 52968497764 66210622205 94586603150 101862495700 132421244410 189173206300 264842488820 331053111025 662106222050 1324212444100