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2100320010300 = 22352171932133821
BaseRepresentation
bin11110100100000100110…
…101000000000000111100
321102210021220122101211010
4132210010311000000330
5233402423410312200
64244512414555220
7304512613344141
oct36440465000074
97383256571733
102100320010300
1173a816988406
1229b080b08b10
131230a0459905
14739282123c8
153997a37a150
hex1e904d4003c

2100320010300 has 144 divisors (see below), whose sum is σ = 6467733976032. Its totient is φ = 524407603200.

The previous prime is 2100320010287. The next prime is 2100320010301. The reversal of 2100320010300 is 30100230012.

It is a happy number.

It is a super-2 number, since 2×21003200103002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100320010301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82611 + ... + 2051210.

It is an arithmetic number, because the mean of its divisors is an integer number (44914819278).

Almost surely, 22100320010300 is an apocalyptic number.

2100320010300 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 2100320010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233866988016).

2100320010300 is an abundant number, since it is smaller than the sum of its proper divisors (4367413965732).

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

2100320010300 is a wasteful number, since it uses less digits than its factorization.

2100320010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134048 (or 2134041 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2100320010300 its reverse (30100230012), we get a palindrome (2130420240312).

The spelling of 2100320010300 in words is "two trillion, one hundred billion, three hundred twenty million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 193 204 255 300 340 386 425 510 579 772 850 965 1020 1158 1275 1700 1930 2316 2550 2895 3281 3860 4825 5100 5790 6562 9650 9843 11580 13124 14475 16405 19300 19686 28950 32810 39372 49215 57900 65620 82025 98430 164050 196860 246075 328100 492150 984300 2133821 4267642 6401463 8535284 10669105 12802926 21338210 25605852 32007315 36274957 42676420 53345525 64014630 72549914 106691050 108824871 128029260 145099828 160036575 181374785 213382100 217649742 320073150 362749570 411827453 435299484 544124355 640146300 725499140 823654906 906873925 1088248710 1235482359 1647309812 1813747850 2059137265 2176497420 2470964718 2720621775 3627495700 4118274530 4941929436 5441243550 6177411795 7001066701 8236549060 10295686325 10882487100 12354823590 14002133402 20591372650 21003200103 24709647180 28004266804 30887058975 35005333505 41182745300 42006400206 61774117950 70010667010 84012800412 105016000515 123548235900 140021334020 175026667525 210032001030 350053335050 420064002060 525080002575 700106670100 1050160005150 2100320010300