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100421264300 = 225271970110771
BaseRepresentation
bin101110110000110010…
…0101110001110101100
3100121012112022210020012
41131201210232032230
53121130320424200
6114044412112352
710153350443210
oct1354144561654
9317175283205
10100421264300
1139652205215
1217566a656b8
139614b87a66
144c08d9c940
15292b1eda35
hex176192e3ac

100421264300 has 144 divisors (see below), whose sum is σ = 262550695680. Its totient is φ = 32568480000.

The previous prime is 100421264297. The next prime is 100421264309. The reversal of 100421264300 is 3462124001.

100421264300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1004212643002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100421264309) by changing a digit.

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, 9317915 + ... + 9328685.

It is an arithmetic number, because the mean of its divisors is an integer number (1823268720).

Almost surely, 2100421264300 is an apocalyptic number.

100421264300 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 100421264300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131275347840).

100421264300 is an abundant number, since it is smaller than the sum of its proper divisors (162129431380).

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

100421264300 is a wasteful number, since it uses less digits than its factorization.

100421264300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11512 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 100421264300 its reverse (3462124001), we get a palindrome (103883388301).

The spelling of 100421264300 in words is "one hundred billion, four hundred twenty-one million, two hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 701 950 1330 1402 1900 2660 2804 3325 3505 4907 6650 7010 9814 10771 13300 13319 14020 17525 19628 21542 24535 26638 35050 43084 49070 53276 53855 66595 70100 75397 93233 98140 107710 122675 133190 150794 186466 204649 215420 245350 266380 269275 301588 332975 372932 376985 409298 466165 490700 538550 665950 753970 818596 932330 1023245 1077100 1331900 1432543 1507940 1864660 1884925 2046490 2330825 2865086 3769850 4092980 4661650 5116225 5730172 7162715 7539700 7550471 9323300 10232450 14325430 15100942 20464900 28650860 30201884 35813575 37752355 52853297 71627150 75504710 105706594 143254300 143458949 151009420 188761775 211413188 264266485 286917898 377523550 528532970 573835796 717294745 755047100 1004212643 1057065940 1321332425 1434589490 2008425286 2642664850 2869178980 3586473725 4016850572 5021063215 5285329700 7172947450 10042126430 14345894900 20084252860 25105316075 50210632150 100421264300