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1112001300300 = 22352111259267649
BaseRepresentation
bin10000001011101000011…
…100010100011101001100
310221022021021121222202110
4100023220130110131030
5121204334313102200
62210502451024020
7143224300045152
oct20135034243514
93838237558673
101112001300300
113996628205a0
1215b61ab9b010
1380b272a68b7
143bb6d3433d2
151ddd43cbb50
hex102e871474c

1112001300300 has 144 divisors (see below), whose sum is σ = 3512681424000. Its totient is φ = 269360947200.

The previous prime is 1112001300299. The next prime is 1112001300301. The reversal of 1112001300300 is 30031002111.

It is an interprime number because it is at equal distance from previous prime (1112001300299) and next prime (1112001300301).

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

It is not an unprimeable number, because it can be changed into a prime (1112001300301) 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 47 ways as a sum of consecutive naturals, for example, 4020876 + ... + 4288524.

It is an arithmetic number, because the mean of its divisors is an integer number (24393621000).

Almost surely, 21112001300300 is an apocalyptic number.

1112001300300 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 1112001300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756340712000).

1112001300300 is an abundant number, since it is smaller than the sum of its proper divisors (2400680123700).

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

1112001300300 is a wasteful number, since it uses less digits than its factorization.

1112001300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268936 (or 268929 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1112001300300 its reverse (30031002111), we get a palindrome (1142032302411).

The spelling of 1112001300300 in words is "one trillion, one hundred twelve billion, one million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1259 1650 2518 3300 3777 5036 6295 7554 12590 13849 15108 18885 25180 27698 31475 37770 41547 55396 62950 69245 75540 83094 94425 125900 138490 166188 188850 207735 267649 276980 346225 377700 415470 535298 692450 802947 830940 1038675 1070596 1338245 1384900 1605894 2077350 2676490 2944139 3211788 4014735 4154700 5352980 5888278 6691225 8029470 8832417 11776556 13382450 14720695 16058940 17664834 20073675 26764900 29441390 35329668 40147350 44162085 58882780 73603475 80294700 88324170 147206950 176648340 220810425 294413900 336970091 441620850 673940182 883241700 1010910273 1347880364 1684850455 2021820546 3369700910 3706671001 4043641092 5054551365 6739401820 7413342002 8424252275 10109102730 11120013003 14826684004 16848504550 18533355005 20218205460 22240026006 25272756825 33697009100 37066710010 44480052012 50545513650 55600065015 74133420020 92666775025 101091027300 111200130030 185333550050 222400260060 278000325075 370667100100 556000650150 1112001300300