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12001300100300 = 22527191033873527
BaseRepresentation
bin1010111010100100010100…
…1110101011010011001100
31120111022110020110001010102
42232221011032223103030
53033112130311202200
641305153211430232
72346031255461260
oct256510516532314
946438406401112
1012001300100300
1139077a5040465
121419b23155378
13690943b613c4
142d6c1a5280a0
1515c2ac1306d5
hexaea453ab4cc

12001300100300 has 144 divisors (see below), whose sum is σ = 31360074493440. Its totient is φ = 3894388554240.

The previous prime is 12001300100291. The next prime is 12001300100333. The reversal of 12001300100300 is 300100310021.

12001300100300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13302137 + ... + 14175663.

Almost surely, 212001300100300 is an apocalyptic number.

12001300100300 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 12001300100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680037246720).

12001300100300 is an abundant number, since it is smaller than the sum of its proper divisors (19358774393140).

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

12001300100300 is a wasteful number, since it uses less digits than its factorization.

12001300100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874600 (or 874593 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 12001300100300 its reverse (300100310021), we get a palindrome (12301400410321).

The spelling of 12001300100300 in words is "twelve trillion, one billion, three hundred million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1033 1330 1900 2066 2660 3325 4132 5165 6650 7231 10330 13300 14462 19627 20660 25825 28924 36155 39254 51650 72310 78508 98135 103300 137389 144620 180775 196270 274778 361550 392540 490675 549556 686945 723100 873527 981350 1373890 1747054 1962700 2747780 3434725 3494108 4367635 6114689 6869450 8735270 12229378 13738900 16597013 17470540 21838175 24458756 30573445 33194026 43676350 61146890 66388052 82985065 87352700 116179091 122293780 152867225 165970130 232358182 305734450 331940260 414925325 464716364 580895455 611468900 829850650 902353391 1161790910 1659701300 1804706782 2323581820 2904477275 3609413564 4511766955 5808954550 6316473737 9023533910 11617909100 12632947474 17144714429 18047067820 22558834775 25265894948 31582368685 34289428858 45117669550 63164737370 68578857716 85723572145 90235339100 120013001003 126329474740 157911843425 171447144290 240026002006 315823686850 342894288580 428617860725 480052004012 600065005015 631647373700 857235721450 1200130010030 1714471442900 2400260020060 3000325025075 6000650050150 12001300100300